कैलकुलस उदाहरण

$g (x) = \frac{x^{7} {(x - 1)}^{2}}{{(x + 2)}^{2} {(x^{2} + 1)}^{3}}$

चरण 1

भागफल नियम का उपयोग करके अवकलन करें, जिसमें यह वर्णन हो कि $\frac{d}{d x} [\frac{f (x)}{g (x)}]$ $\frac{g (x) \frac{d}{d x} [f (x)] - f (x) \frac{d}{d x} [g (x)]}{{g (x)}^{2}}$ है, जहाँ $f (x) = x^{7} {(x - 1)}^{2}$ और $g (x) = {(x + 2)}^{2} {(x^{2} + 1)}^{3}$ है.

$\frac{{(x + 2)}^{2} {(x^{2} + 1)}^{3} \frac{d}{d x} [x^{7} {(x - 1)}^{2}] - x^{7} {(x - 1)}^{2} \frac{d}{d x} [{(x + 2)}^{2} {(x^{2} + 1)}^{3}]}{{({(x + 2)}^{2} {(x^{2} + 1)}^{3})}^{2}}$

चरण 2

गुणनफल नियम का उपयोग करके अवकलन करें, जिसमें यह वर्णन हो कि $\frac{d}{d x} [f (x) g (x)]$ $f (x) \frac{d}{d x} [g (x)] + g (x) \frac{d}{d x} [f (x)]$ है, जहाँ $f (x) = x^{7}$ और $g (x) = {(x - 1)}^{2}$ है.

$\frac{{(x + 2)}^{2} {(x^{2} + 1)}^{3} (x^{7} \frac{d}{d x} [{(x - 1)}^{2}] + {(x - 1)}^{2} \frac{d}{d x} [x^{7}]) - x^{7} {(x - 1)}^{2} \frac{d}{d x} [{(x + 2)}^{2} {(x^{2} + 1)}^{3}]}{{({(x + 2)}^{2} {(x^{2} + 1)}^{3})}^{2}}$

चरण 3

चेन रूल का उपयोग करके अवकलन करें, जिसमें यह वर्णन हो कि $\frac{d}{d x} [f (g (x))]$ $f' (g (x)) g' (x)$ है, जहाँ $f (x) = x^{2}$ और $g (x) = x - 1$ है.

और स्टेप्स के लिए टैप करें…

चरण 3.1

चेन रूल लागू करने के लिए, $u_{1}$ को $x - 1$ के रूप में सेट करें.

$\frac{{(x + 2)}^{2} {(x^{2} + 1)}^{3} (x^{7} (\frac{d}{d u_{1}} [{u_{1}}^{2}] \frac{d}{d x} [x - 1]) + {(x - 1)}^{2} \frac{d}{d x} [x^{7}]) - x^{7} {(x - 1)}^{2} \frac{d}{d x} [{(x + 2)}^{2} {(x^{2} + 1)}^{3}]}{{({(x + 2)}^{2} {(x^{2} + 1)}^{3})}^{2}}$

चरण 3.2

घात नियम का उपयोग करके अवकलन करें, जिसमें यह वर्णन हो कि $\frac{d}{d u_{1}} [{u_{1}}^{n}]$ $n {u_{1}}^{n - 1}$ है, जहाँ $n = 2$ है.

$\frac{{(x + 2)}^{2} {(x^{2} + 1)}^{3} (x^{7} (2 u_{1} \frac{d}{d x} [x - 1]) + {(x - 1)}^{2} \frac{d}{d x} [x^{7}]) - x^{7} {(x - 1)}^{2} \frac{d}{d x} [{(x + 2)}^{2} {(x^{2} + 1)}^{3}]}{{({(x + 2)}^{2} {(x^{2} + 1)}^{3})}^{2}}$

चरण 3.3

$u_{1}$ की सभी घटनाओं को $x - 1$ से बदलें.

$\frac{{(x + 2)}^{2} {(x^{2} + 1)}^{3} (x^{7} (2 (x - 1) \frac{d}{d x} [x - 1]) + {(x - 1)}^{2} \frac{d}{d x} [x^{7}]) - x^{7} {(x - 1)}^{2} \frac{d}{d x} [{(x + 2)}^{2} {(x^{2} + 1)}^{3}]}{{({(x + 2)}^{2} {(x^{2} + 1)}^{3})}^{2}}$

चरण 4

अवकलन करें.

और स्टेप्स के लिए टैप करें…

चरण 4.1

योग नियम के अनुसार, $x$ के संबंध में $x - 1$ का व्युत्पन्न $\frac{d}{d x} [x] + \frac{d}{d x} [- 1]$ है.

$\frac{{(x + 2)}^{2} {(x^{2} + 1)}^{3} (x^{7} (2 (x - 1) (\frac{d}{d x} [x] + \frac{d}{d x} [- 1])) + {(x - 1)}^{2} \frac{d}{d x} [x^{7}]) - x^{7} {(x - 1)}^{2} \frac{d}{d x} [{(x + 2)}^{2} {(x^{2} + 1)}^{3}]}{{({(x + 2)}^{2} {(x^{2} + 1)}^{3})}^{2}}$

चरण 4.2

घात नियम का उपयोग करके अवकलन करें, जिसमें यह वर्णन हो कि $\frac{d}{d x} [x^{n}]$ $n x^{n - 1}$ है, जहाँ $n = 1$ है.

$\frac{{(x + 2)}^{2} {(x^{2} + 1)}^{3} (x^{7} (2 (x - 1) (1 + \frac{d}{d x} [- 1])) + {(x - 1)}^{2} \frac{d}{d x} [x^{7}]) - x^{7} {(x - 1)}^{2} \frac{d}{d x} [{(x + 2)}^{2} {(x^{2} + 1)}^{3}]}{{({(x + 2)}^{2} {(x^{2} + 1)}^{3})}^{2}}$

चरण 4.3

चूंकि $x$ के संबंध में $- 1$ स्थिर है, $x$ के संबंध में $- 1$ का व्युत्पन्न $0$ है.

$\frac{{(x + 2)}^{2} {(x^{2} + 1)}^{3} (x^{7} (2 (x - 1) (1 + 0)) + {(x - 1)}^{2} \frac{d}{d x} [x^{7}]) - x^{7} {(x - 1)}^{2} \frac{d}{d x} [{(x + 2)}^{2} {(x^{2} + 1)}^{3}]}{{({(x + 2)}^{2} {(x^{2} + 1)}^{3})}^{2}}$

चरण 4.4

व्यंजक को सरल बनाएंं.

और स्टेप्स के लिए टैप करें…

चरण 4.4.1

$1$ और $0$ जोड़ें.

$\frac{{(x + 2)}^{2} {(x^{2} + 1)}^{3} (x^{7} (2 (x - 1) \cdot 1) + {(x - 1)}^{2} \frac{d}{d x} [x^{7}]) - x^{7} {(x - 1)}^{2} \frac{d}{d x} [{(x + 2)}^{2} {(x^{2} + 1)}^{3}]}{{({(x + 2)}^{2} {(x^{2} + 1)}^{3})}^{2}}$

चरण 4.4.2

$2$ को $1$ से गुणा करें.

$\frac{{(x + 2)}^{2} {(x^{2} + 1)}^{3} (x^{7} (2 (x - 1)) + {(x - 1)}^{2} \frac{d}{d x} [x^{7}]) - x^{7} {(x - 1)}^{2} \frac{d}{d x} [{(x + 2)}^{2} {(x^{2} + 1)}^{3}]}{{({(x + 2)}^{2} {(x^{2} + 1)}^{3})}^{2}}$

चरण 4.5

घात नियम का उपयोग करके अवकलन करें, जिसमें यह वर्णन हो कि $\frac{d}{d x} [x^{n}]$ $n x^{n - 1}$ है, जहाँ $n = 7$ है.

$\frac{{(x + 2)}^{2} {(x^{2} + 1)}^{3} (x^{7} (2 (x - 1)) + {(x - 1)}^{2} (7 x^{6})) - x^{7} {(x - 1)}^{2} \frac{d}{d x} [{(x + 2)}^{2} {(x^{2} + 1)}^{3}]}{{({(x + 2)}^{2} {(x^{2} + 1)}^{3})}^{2}}$

चरण 4.6

$7$ को ${(x - 1)}^{2}$ के बाईं ओर ले जाएं.

$\frac{{(x + 2)}^{2} {(x^{2} + 1)}^{3} (x^{7} (2 (x - 1)) + 7 \cdot {(x - 1)}^{2} x^{6}) - x^{7} {(x - 1)}^{2} \frac{d}{d x} [{(x + 2)}^{2} {(x^{2} + 1)}^{3}]}{{({(x + 2)}^{2} {(x^{2} + 1)}^{3})}^{2}}$

चरण 5

गुणनफल नियम का उपयोग करके अवकलन करें, जिसमें यह वर्णन हो कि $\frac{d}{d x} [f (x) g (x)]$ $f (x) \frac{d}{d x} [g (x)] + g (x) \frac{d}{d x} [f (x)]$ है, जहाँ $f (x) = {(x + 2)}^{2}$ और $g (x) = {(x^{2} + 1)}^{3}$ है.

$\frac{{(x + 2)}^{2} {(x^{2} + 1)}^{3} (x^{7} (2 (x - 1)) + 7 {(x - 1)}^{2} x^{6}) - x^{7} {(x - 1)}^{2} ({(x + 2)}^{2} \frac{d}{d x} [{(x^{2} + 1)}^{3}] + {(x^{2} + 1)}^{3} \frac{d}{d x} [{(x + 2)}^{2}])}{{({(x + 2)}^{2} {(x^{2} + 1)}^{3})}^{2}}$

चरण 6

चेन रूल का उपयोग करके अवकलन करें, जिसमें यह वर्णन हो कि $\frac{d}{d x} [f (g (x))]$ $f' (g (x)) g' (x)$ है, जहाँ $f (x) = x^{3}$ और $g (x) = x^{2} + 1$ है.

और स्टेप्स के लिए टैप करें…

चरण 6.1

चेन रूल लागू करने के लिए, $u_{2}$ को $x^{2} + 1$ के रूप में सेट करें.

$\frac{{(x + 2)}^{2} {(x^{2} + 1)}^{3} (x^{7} (2 (x - 1)) + 7 {(x - 1)}^{2} x^{6}) - x^{7} {(x - 1)}^{2} ({(x + 2)}^{2} (\frac{d}{d u_{2}} [{u_{2}}^{3}] \frac{d}{d x} [x^{2} + 1]) + {(x^{2} + 1)}^{3} \frac{d}{d x} [{(x + 2)}^{2}])}{{({(x + 2)}^{2} {(x^{2} + 1)}^{3})}^{2}}$

चरण 6.2

घात नियम का उपयोग करके अवकलन करें, जिसमें यह वर्णन हो कि $\frac{d}{d u_{2}} [{u_{2}}^{n}]$ $n {u_{2}}^{n - 1}$ है, जहाँ $n = 3$ है.

$\frac{{(x + 2)}^{2} {(x^{2} + 1)}^{3} (x^{7} (2 (x - 1)) + 7 {(x - 1)}^{2} x^{6}) - x^{7} {(x - 1)}^{2} ({(x + 2)}^{2} (3 {u_{2}}^{2} \frac{d}{d x} [x^{2} + 1]) + {(x^{2} + 1)}^{3} \frac{d}{d x} [{(x + 2)}^{2}])}{{({(x + 2)}^{2} {(x^{2} + 1)}^{3})}^{2}}$

चरण 6.3

$u_{2}$ की सभी घटनाओं को $x^{2} + 1$ से बदलें.

$\frac{{(x + 2)}^{2} {(x^{2} + 1)}^{3} (x^{7} (2 (x - 1)) + 7 {(x - 1)}^{2} x^{6}) - x^{7} {(x - 1)}^{2} ({(x + 2)}^{2} (3 {(x^{2} + 1)}^{2} \frac{d}{d x} [x^{2} + 1]) + {(x^{2} + 1)}^{3} \frac{d}{d x} [{(x + 2)}^{2}])}{{({(x + 2)}^{2} {(x^{2} + 1)}^{3})}^{2}}$

चरण 7

अवकलन करें.

और स्टेप्स के लिए टैप करें…

चरण 7.1

$3$ को ${(x + 2)}^{2}$ के बाईं ओर ले जाएं.

$\frac{{(x + 2)}^{2} {(x^{2} + 1)}^{3} (x^{7} (2 (x - 1)) + 7 {(x - 1)}^{2} x^{6}) - x^{7} {(x - 1)}^{2} (3 \cdot {(x + 2)}^{2} {(x^{2} + 1)}^{2} \frac{d}{d x} [x^{2} + 1] + {(x^{2} + 1)}^{3} \frac{d}{d x} [{(x + 2)}^{2}])}{{({(x + 2)}^{2} {(x^{2} + 1)}^{3})}^{2}}$

चरण 7.2

योग नियम के अनुसार, $x$ के संबंध में $x^{2} + 1$ का व्युत्पन्न $\frac{d}{d x} [x^{2}] + \frac{d}{d x} [1]$ है.

$\frac{{(x + 2)}^{2} {(x^{2} + 1)}^{3} (x^{7} (2 (x - 1)) + 7 {(x - 1)}^{2} x^{6}) - x^{7} {(x - 1)}^{2} (3 {(x + 2)}^{2} {(x^{2} + 1)}^{2} (\frac{d}{d x} [x^{2}] + \frac{d}{d x} [1]) + {(x^{2} + 1)}^{3} \frac{d}{d x} [{(x + 2)}^{2}])}{{({(x + 2)}^{2} {(x^{2} + 1)}^{3})}^{2}}$

चरण 7.3

घात नियम का उपयोग करके अवकलन करें, जिसमें यह वर्णन हो कि $\frac{d}{d x} [x^{n}]$ $n x^{n - 1}$ है, जहाँ $n = 2$ है.

$\frac{{(x + 2)}^{2} {(x^{2} + 1)}^{3} (x^{7} (2 (x - 1)) + 7 {(x - 1)}^{2} x^{6}) - x^{7} {(x - 1)}^{2} (3 {(x + 2)}^{2} {(x^{2} + 1)}^{2} (2 x + \frac{d}{d x} [1]) + {(x^{2} + 1)}^{3} \frac{d}{d x} [{(x + 2)}^{2}])}{{({(x + 2)}^{2} {(x^{2} + 1)}^{3})}^{2}}$

चरण 7.4

चूंकि $x$ के संबंध में $1$ स्थिर है, $x$ के संबंध में $1$ का व्युत्पन्न $0$ है.

$\frac{{(x + 2)}^{2} {(x^{2} + 1)}^{3} (x^{7} (2 (x - 1)) + 7 {(x - 1)}^{2} x^{6}) - x^{7} {(x - 1)}^{2} (3 {(x + 2)}^{2} {(x^{2} + 1)}^{2} (2 x + 0) + {(x^{2} + 1)}^{3} \frac{d}{d x} [{(x + 2)}^{2}])}{{({(x + 2)}^{2} {(x^{2} + 1)}^{3})}^{2}}$

चरण 7.5

व्यंजक को सरल बनाएंं.

और स्टेप्स के लिए टैप करें…

चरण 7.5.1

$2 x$ और $0$ जोड़ें.

$\frac{{(x + 2)}^{2} {(x^{2} + 1)}^{3} (x^{7} (2 (x - 1)) + 7 {(x - 1)}^{2} x^{6}) - x^{7} {(x - 1)}^{2} (3 {(x + 2)}^{2} {(x^{2} + 1)}^{2} (2 x) + {(x^{2} + 1)}^{3} \frac{d}{d x} [{(x + 2)}^{2}])}{{({(x + 2)}^{2} {(x^{2} + 1)}^{3})}^{2}}$

चरण 7.5.2

$2$ को $3$ से गुणा करें.

$\frac{{(x + 2)}^{2} {(x^{2} + 1)}^{3} (x^{7} (2 (x - 1)) + 7 {(x - 1)}^{2} x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + {(x^{2} + 1)}^{3} \frac{d}{d x} [{(x + 2)}^{2}])}{{({(x + 2)}^{2} {(x^{2} + 1)}^{3})}^{2}}$

चरण 8

चेन रूल का उपयोग करके अवकलन करें, जिसमें यह वर्णन हो कि $\frac{d}{d x} [f (g (x))]$ $f' (g (x)) g' (x)$ है, जहाँ $f (x) = x^{2}$ और $g (x) = x + 2$ है.

और स्टेप्स के लिए टैप करें…

चरण 8.1

चेन रूल लागू करने के लिए, $u_{3}$ को $x + 2$ के रूप में सेट करें.

$\frac{{(x + 2)}^{2} {(x^{2} + 1)}^{3} (x^{7} (2 (x - 1)) + 7 {(x - 1)}^{2} x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + {(x^{2} + 1)}^{3} (\frac{d}{d u_{3}} [{u_{3}}^{2}] \frac{d}{d x} [x + 2]))}{{({(x + 2)}^{2} {(x^{2} + 1)}^{3})}^{2}}$

चरण 8.2

घात नियम का उपयोग करके अवकलन करें, जिसमें यह वर्णन हो कि $\frac{d}{d u_{3}} [{u_{3}}^{n}]$ $n {u_{3}}^{n - 1}$ है, जहाँ $n = 2$ है.

$\frac{{(x + 2)}^{2} {(x^{2} + 1)}^{3} (x^{7} (2 (x - 1)) + 7 {(x - 1)}^{2} x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + {(x^{2} + 1)}^{3} (2 u_{3} \frac{d}{d x} [x + 2]))}{{({(x + 2)}^{2} {(x^{2} + 1)}^{3})}^{2}}$

चरण 8.3

$u_{3}$ की सभी घटनाओं को $x + 2$ से बदलें.

$\frac{{(x + 2)}^{2} {(x^{2} + 1)}^{3} (x^{7} (2 (x - 1)) + 7 {(x - 1)}^{2} x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + {(x^{2} + 1)}^{3} (2 (x + 2) \frac{d}{d x} [x + 2]))}{{({(x + 2)}^{2} {(x^{2} + 1)}^{3})}^{2}}$

चरण 9

अवकलन करें.

और स्टेप्स के लिए टैप करें…

चरण 9.1

$2$ को ${(x^{2} + 1)}^{3}$ के बाईं ओर ले जाएं.

$\frac{{(x + 2)}^{2} {(x^{2} + 1)}^{3} (x^{7} (2 (x - 1)) + 7 {(x - 1)}^{2} x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 \cdot {(x^{2} + 1)}^{3} (x + 2) \frac{d}{d x} [x + 2])}{{({(x + 2)}^{2} {(x^{2} + 1)}^{3})}^{2}}$

चरण 9.2

योग नियम के अनुसार, $x$ के संबंध में $x + 2$ का व्युत्पन्न $\frac{d}{d x} [x] + \frac{d}{d x} [2]$ है.

$\frac{{(x + 2)}^{2} {(x^{2} + 1)}^{3} (x^{7} (2 (x - 1)) + 7 {(x - 1)}^{2} x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2) (\frac{d}{d x} [x] + \frac{d}{d x} [2]))}{{({(x + 2)}^{2} {(x^{2} + 1)}^{3})}^{2}}$

चरण 9.3

$\frac{{(x + 2)}^{2} {(x^{2} + 1)}^{3} (x^{7} (2 (x - 1)) + 7 {(x - 1)}^{2} x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2) (1 + \frac{d}{d x} [2]))}{{({(x + 2)}^{2} {(x^{2} + 1)}^{3})}^{2}}$

चरण 9.4

चूंकि $x$ के संबंध में $2$ स्थिर है, $x$ के संबंध में $2$ का व्युत्पन्न $0$ है.

$\frac{{(x + 2)}^{2} {(x^{2} + 1)}^{3} (x^{7} (2 (x - 1)) + 7 {(x - 1)}^{2} x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2) (1 + 0))}{{({(x + 2)}^{2} {(x^{2} + 1)}^{3})}^{2}}$

चरण 9.5

व्यंजक को सरल बनाएंं.

और स्टेप्स के लिए टैप करें…

चरण 9.5.1

$1$ और $0$ जोड़ें.

$\frac{{(x + 2)}^{2} {(x^{2} + 1)}^{3} (x^{7} (2 (x - 1)) + 7 {(x - 1)}^{2} x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2) \cdot 1)}{{({(x + 2)}^{2} {(x^{2} + 1)}^{3})}^{2}}$

चरण 9.5.2

$2$ को $1$ से गुणा करें.

$\frac{{(x + 2)}^{2} {(x^{2} + 1)}^{3} (x^{7} (2 (x - 1)) + 7 {(x - 1)}^{2} x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2} {(x^{2} + 1)}^{3})}^{2}}$

चरण 10

सरल करें.

और स्टेप्स के लिए टैप करें…

चरण 10.1

उत्पाद नियम को ${(x + 2)}^{2} {(x^{2} + 1)}^{3}$ पर लागू करें.

चरण 10.2

वितरण गुणधर्म लागू करें.

$\frac{{(x + 2)}^{2} {(x^{2} + 1)}^{3} (x^{7} (2 x + 2 \cdot - 1) + 7 {(x - 1)}^{2} x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.3

वितरण गुणधर्म लागू करें.

$\frac{{(x + 2)}^{2} {(x^{2} + 1)}^{3} (x^{7} (2 x) + x^{7} (2 \cdot - 1) + 7 {(x - 1)}^{2} x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4

न्यूमेरेटर को सरल करें.

और स्टेप्स के लिए टैप करें…

चरण 10.4.1

${(x + 2)}^{2}$ को $(x + 2) (x + 2)$ के रूप में फिर से लिखें.

$\frac{(x + 2) (x + 2) {(x^{2} + 1)}^{3} (x^{7} (2 x) + x^{7} (2 \cdot - 1) + 7 {(x - 1)}^{2} x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.2

FOIL विधि का उपयोग करके $(x + 2) (x + 2)$ का प्रसार करें.

और स्टेप्स के लिए टैप करें…

चरण 10.4.2.1

वितरण गुणधर्म लागू करें.

$\frac{(x (x + 2) + 2 (x + 2)) {(x^{2} + 1)}^{3} (x^{7} (2 x) + x^{7} (2 \cdot - 1) + 7 {(x - 1)}^{2} x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.2.2

वितरण गुणधर्म लागू करें.

$\frac{(x \cdot x + x \cdot 2 + 2 (x + 2)) {(x^{2} + 1)}^{3} (x^{7} (2 x) + x^{7} (2 \cdot - 1) + 7 {(x - 1)}^{2} x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.2.3

वितरण गुणधर्म लागू करें.

$\frac{(x \cdot x + x \cdot 2 + 2 x + 2 \cdot 2) {(x^{2} + 1)}^{3} (x^{7} (2 x) + x^{7} (2 \cdot - 1) + 7 {(x - 1)}^{2} x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.3

समान पदों को सरल और संयोजित करें.

और स्टेप्स के लिए टैप करें…

चरण 10.4.3.1

प्रत्येक पद को सरल करें.

और स्टेप्स के लिए टैप करें…

चरण 10.4.3.1.1

$x$ को $x$ से गुणा करें.

$\frac{(x^{2} + x \cdot 2 + 2 x + 2 \cdot 2) {(x^{2} + 1)}^{3} (x^{7} (2 x) + x^{7} (2 \cdot - 1) + 7 {(x - 1)}^{2} x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.3.1.2

$2$ को $x$ के बाईं ओर ले जाएं.

$\frac{(x^{2} + 2 \cdot x + 2 x + 2 \cdot 2) {(x^{2} + 1)}^{3} (x^{7} (2 x) + x^{7} (2 \cdot - 1) + 7 {(x - 1)}^{2} x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.3.1.3

$2$ को $2$ से गुणा करें.

$\frac{(x^{2} + 2 x + 2 x + 4) {(x^{2} + 1)}^{3} (x^{7} (2 x) + x^{7} (2 \cdot - 1) + 7 {(x - 1)}^{2} x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.3.2

$2 x$ और $2 x$ जोड़ें.

$\frac{(x^{2} + 4 x + 4) {(x^{2} + 1)}^{3} (x^{7} (2 x) + x^{7} (2 \cdot - 1) + 7 {(x - 1)}^{2} x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.4

द्विपद प्रमेय का प्रयोग करें.

$\frac{(x^{2} + 4 x + 4) ({(x^{2})}^{3} + 3 {(x^{2})}^{2} \cdot 1 + 3 x^{2} \cdot 1^{2} + 1^{3}) (x^{7} (2 x) + x^{7} (2 \cdot - 1) + 7 {(x - 1)}^{2} x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.5

प्रत्येक पद को सरल करें.

और स्टेप्स के लिए टैप करें…

चरण 10.4.5.1

घातांक को ${(x^{2})}^{3}$ में गुणा करें.

और स्टेप्स के लिए टैप करें…

चरण 10.4.5.1.1

घात नियम लागू करें और घातांक गुणा करें, ${(a^{m})}^{n} = a^{m n}$ .

$\frac{(x^{2} + 4 x + 4) (x^{2 \cdot 3} + 3 {(x^{2})}^{2} \cdot 1 + 3 x^{2} \cdot 1^{2} + 1^{3}) (x^{7} (2 x) + x^{7} (2 \cdot - 1) + 7 {(x - 1)}^{2} x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.5.1.2

$2$ को $3$ से गुणा करें.

$\frac{(x^{2} + 4 x + 4) (x^{6} + 3 {(x^{2})}^{2} \cdot 1 + 3 x^{2} \cdot 1^{2} + 1^{3}) (x^{7} (2 x) + x^{7} (2 \cdot - 1) + 7 {(x - 1)}^{2} x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.5.2

घातांक को ${(x^{2})}^{2}$ में गुणा करें.

और स्टेप्स के लिए टैप करें…

चरण 10.4.5.2.1

घात नियम लागू करें और घातांक गुणा करें, ${(a^{m})}^{n} = a^{m n}$ .

$\frac{(x^{2} + 4 x + 4) (x^{6} + 3 x^{2 \cdot 2} \cdot 1 + 3 x^{2} \cdot 1^{2} + 1^{3}) (x^{7} (2 x) + x^{7} (2 \cdot - 1) + 7 {(x - 1)}^{2} x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.5.2.2

$2$ को $2$ से गुणा करें.

$\frac{(x^{2} + 4 x + 4) (x^{6} + 3 x^{4} \cdot 1 + 3 x^{2} \cdot 1^{2} + 1^{3}) (x^{7} (2 x) + x^{7} (2 \cdot - 1) + 7 {(x - 1)}^{2} x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.5.3

$3$ को $1$ से गुणा करें.

$\frac{(x^{2} + 4 x + 4) (x^{6} + 3 x^{4} + 3 x^{2} \cdot 1^{2} + 1^{3}) (x^{7} (2 x) + x^{7} (2 \cdot - 1) + 7 {(x - 1)}^{2} x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.5.4

एक का कोई भी घात एक होता है.

$\frac{(x^{2} + 4 x + 4) (x^{6} + 3 x^{4} + 3 x^{2} \cdot 1 + 1^{3}) (x^{7} (2 x) + x^{7} (2 \cdot - 1) + 7 {(x - 1)}^{2} x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.5.5

$3$ को $1$ से गुणा करें.

$\frac{(x^{2} + 4 x + 4) (x^{6} + 3 x^{4} + 3 x^{2} + 1^{3}) (x^{7} (2 x) + x^{7} (2 \cdot - 1) + 7 {(x - 1)}^{2} x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.5.6

एक का कोई भी घात एक होता है.

$\frac{(x^{2} + 4 x + 4) (x^{6} + 3 x^{4} + 3 x^{2} + 1) (x^{7} (2 x) + x^{7} (2 \cdot - 1) + 7 {(x - 1)}^{2} x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.6

प्रथम व्यंजक के प्रत्येक पद को द्वितीय व्यंजक के प्रत्येक पद से गुणा करके $(x^{2} + 4 x + 4) (x^{6} + 3 x^{4} + 3 x^{2} + 1)$ का प्रसार करें.

$\frac{(x^{2} x^{6} + x^{2} (3 x^{4}) + x^{2} (3 x^{2}) + x^{2} \cdot 1 + 4 x \cdot x^{6} + 4 x (3 x^{4}) + 4 x (3 x^{2}) + 4 x \cdot 1 + 4 x^{6} + 4 (3 x^{4}) + 4 (3 x^{2}) + 4 \cdot 1) (x^{7} (2 x) + x^{7} (2 \cdot - 1) + 7 {(x - 1)}^{2} x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.7

प्रत्येक पद को सरल करें.

और स्टेप्स के लिए टैप करें…

चरण 10.4.7.1

घातांक जोड़कर $x^{2}$ को $x^{6}$ से गुणा करें.

और स्टेप्स के लिए टैप करें…

चरण 10.4.7.1.1

घातांकों को संयोजित करने के लिए घात नियम $a^{m} a^{n} = a^{m + n}$ का उपयोग करें.

$\frac{(x^{2 + 6} + x^{2} (3 x^{4}) + x^{2} (3 x^{2}) + x^{2} \cdot 1 + 4 x \cdot x^{6} + 4 x (3 x^{4}) + 4 x (3 x^{2}) + 4 x \cdot 1 + 4 x^{6} + 4 (3 x^{4}) + 4 (3 x^{2}) + 4 \cdot 1) (x^{7} (2 x) + x^{7} (2 \cdot - 1) + 7 {(x - 1)}^{2} x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.7.1.2

$2$ और $6$ जोड़ें.

$\frac{(x^{8} + x^{2} (3 x^{4}) + x^{2} (3 x^{2}) + x^{2} \cdot 1 + 4 x \cdot x^{6} + 4 x (3 x^{4}) + 4 x (3 x^{2}) + 4 x \cdot 1 + 4 x^{6} + 4 (3 x^{4}) + 4 (3 x^{2}) + 4 \cdot 1) (x^{7} (2 x) + x^{7} (2 \cdot - 1) + 7 {(x - 1)}^{2} x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.7.2

गुणन के क्रमविनिमेय गुण का उपयोग करके फिर से लिखें.

$\frac{(x^{8} + 3 x^{2} x^{4} + x^{2} (3 x^{2}) + x^{2} \cdot 1 + 4 x \cdot x^{6} + 4 x (3 x^{4}) + 4 x (3 x^{2}) + 4 x \cdot 1 + 4 x^{6} + 4 (3 x^{4}) + 4 (3 x^{2}) + 4 \cdot 1) (x^{7} (2 x) + x^{7} (2 \cdot - 1) + 7 {(x - 1)}^{2} x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.7.3

घातांक जोड़कर $x^{2}$ को $x^{4}$ से गुणा करें.

और स्टेप्स के लिए टैप करें…

चरण 10.4.7.3.1

$x^{4}$ ले जाएं.

$\frac{(x^{8} + 3 (x^{4} x^{2}) + x^{2} (3 x^{2}) + x^{2} \cdot 1 + 4 x \cdot x^{6} + 4 x (3 x^{4}) + 4 x (3 x^{2}) + 4 x \cdot 1 + 4 x^{6} + 4 (3 x^{4}) + 4 (3 x^{2}) + 4 \cdot 1) (x^{7} (2 x) + x^{7} (2 \cdot - 1) + 7 {(x - 1)}^{2} x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.7.3.2

घातांकों को संयोजित करने के लिए घात नियम $a^{m} a^{n} = a^{m + n}$ का उपयोग करें.

$\frac{(x^{8} + 3 x^{4 + 2} + x^{2} (3 x^{2}) + x^{2} \cdot 1 + 4 x \cdot x^{6} + 4 x (3 x^{4}) + 4 x (3 x^{2}) + 4 x \cdot 1 + 4 x^{6} + 4 (3 x^{4}) + 4 (3 x^{2}) + 4 \cdot 1) (x^{7} (2 x) + x^{7} (2 \cdot - 1) + 7 {(x - 1)}^{2} x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.7.3.3

$4$ और $2$ जोड़ें.

$\frac{(x^{8} + 3 x^{6} + x^{2} (3 x^{2}) + x^{2} \cdot 1 + 4 x \cdot x^{6} + 4 x (3 x^{4}) + 4 x (3 x^{2}) + 4 x \cdot 1 + 4 x^{6} + 4 (3 x^{4}) + 4 (3 x^{2}) + 4 \cdot 1) (x^{7} (2 x) + x^{7} (2 \cdot - 1) + 7 {(x - 1)}^{2} x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.7.4

गुणन के क्रमविनिमेय गुण का उपयोग करके फिर से लिखें.

$\frac{(x^{8} + 3 x^{6} + 3 x^{2} x^{2} + x^{2} \cdot 1 + 4 x \cdot x^{6} + 4 x (3 x^{4}) + 4 x (3 x^{2}) + 4 x \cdot 1 + 4 x^{6} + 4 (3 x^{4}) + 4 (3 x^{2}) + 4 \cdot 1) (x^{7} (2 x) + x^{7} (2 \cdot - 1) + 7 {(x - 1)}^{2} x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.7.5

घातांक जोड़कर $x^{2}$ को $x^{2}$ से गुणा करें.

और स्टेप्स के लिए टैप करें…

चरण 10.4.7.5.1

$x^{2}$ ले जाएं.

$\frac{(x^{8} + 3 x^{6} + 3 (x^{2} x^{2}) + x^{2} \cdot 1 + 4 x \cdot x^{6} + 4 x (3 x^{4}) + 4 x (3 x^{2}) + 4 x \cdot 1 + 4 x^{6} + 4 (3 x^{4}) + 4 (3 x^{2}) + 4 \cdot 1) (x^{7} (2 x) + x^{7} (2 \cdot - 1) + 7 {(x - 1)}^{2} x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.7.5.2

घातांकों को संयोजित करने के लिए घात नियम $a^{m} a^{n} = a^{m + n}$ का उपयोग करें.

$\frac{(x^{8} + 3 x^{6} + 3 x^{2 + 2} + x^{2} \cdot 1 + 4 x \cdot x^{6} + 4 x (3 x^{4}) + 4 x (3 x^{2}) + 4 x \cdot 1 + 4 x^{6} + 4 (3 x^{4}) + 4 (3 x^{2}) + 4 \cdot 1) (x^{7} (2 x) + x^{7} (2 \cdot - 1) + 7 {(x - 1)}^{2} x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.7.5.3

$2$ और $2$ जोड़ें.

$\frac{(x^{8} + 3 x^{6} + 3 x^{4} + x^{2} \cdot 1 + 4 x \cdot x^{6} + 4 x (3 x^{4}) + 4 x (3 x^{2}) + 4 x \cdot 1 + 4 x^{6} + 4 (3 x^{4}) + 4 (3 x^{2}) + 4 \cdot 1) (x^{7} (2 x) + x^{7} (2 \cdot - 1) + 7 {(x - 1)}^{2} x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.7.6

$x^{2}$ को $1$ से गुणा करें.

$\frac{(x^{8} + 3 x^{6} + 3 x^{4} + x^{2} + 4 x \cdot x^{6} + 4 x (3 x^{4}) + 4 x (3 x^{2}) + 4 x \cdot 1 + 4 x^{6} + 4 (3 x^{4}) + 4 (3 x^{2}) + 4 \cdot 1) (x^{7} (2 x) + x^{7} (2 \cdot - 1) + 7 {(x - 1)}^{2} x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.7.7

घातांक जोड़कर $x$ को $x^{6}$ से गुणा करें.

और स्टेप्स के लिए टैप करें…

चरण 10.4.7.7.1

$x^{6}$ ले जाएं.

$\frac{(x^{8} + 3 x^{6} + 3 x^{4} + x^{2} + 4 (x^{6} x) + 4 x (3 x^{4}) + 4 x (3 x^{2}) + 4 x \cdot 1 + 4 x^{6} + 4 (3 x^{4}) + 4 (3 x^{2}) + 4 \cdot 1) (x^{7} (2 x) + x^{7} (2 \cdot - 1) + 7 {(x - 1)}^{2} x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.7.7.2

$x^{6}$ को $x$ से गुणा करें.

और स्टेप्स के लिए टैप करें…

चरण 10.4.7.7.2.1

$x$ को $1$ के घात तक बढ़ाएं.

$\frac{(x^{8} + 3 x^{6} + 3 x^{4} + x^{2} + 4 (x^{6} x^{1}) + 4 x (3 x^{4}) + 4 x (3 x^{2}) + 4 x \cdot 1 + 4 x^{6} + 4 (3 x^{4}) + 4 (3 x^{2}) + 4 \cdot 1) (x^{7} (2 x) + x^{7} (2 \cdot - 1) + 7 {(x - 1)}^{2} x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.7.7.2.2

घातांकों को संयोजित करने के लिए घात नियम $a^{m} a^{n} = a^{m + n}$ का उपयोग करें.

$\frac{(x^{8} + 3 x^{6} + 3 x^{4} + x^{2} + 4 x^{6 + 1} + 4 x (3 x^{4}) + 4 x (3 x^{2}) + 4 x \cdot 1 + 4 x^{6} + 4 (3 x^{4}) + 4 (3 x^{2}) + 4 \cdot 1) (x^{7} (2 x) + x^{7} (2 \cdot - 1) + 7 {(x - 1)}^{2} x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.7.7.3

$6$ और $1$ जोड़ें.

$\frac{(x^{8} + 3 x^{6} + 3 x^{4} + x^{2} + 4 x^{7} + 4 x (3 x^{4}) + 4 x (3 x^{2}) + 4 x \cdot 1 + 4 x^{6} + 4 (3 x^{4}) + 4 (3 x^{2}) + 4 \cdot 1) (x^{7} (2 x) + x^{7} (2 \cdot - 1) + 7 {(x - 1)}^{2} x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.7.8

गुणन के क्रमविनिमेय गुण का उपयोग करके फिर से लिखें.

$\frac{(x^{8} + 3 x^{6} + 3 x^{4} + x^{2} + 4 x^{7} + 4 \cdot 3 x \cdot x^{4} + 4 x (3 x^{2}) + 4 x \cdot 1 + 4 x^{6} + 4 (3 x^{4}) + 4 (3 x^{2}) + 4 \cdot 1) (x^{7} (2 x) + x^{7} (2 \cdot - 1) + 7 {(x - 1)}^{2} x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.7.9

घातांक जोड़कर $x$ को $x^{4}$ से गुणा करें.

और स्टेप्स के लिए टैप करें…

चरण 10.4.7.9.1

$x^{4}$ ले जाएं.

$\frac{(x^{8} + 3 x^{6} + 3 x^{4} + x^{2} + 4 x^{7} + 4 \cdot 3 (x^{4} x) + 4 x (3 x^{2}) + 4 x \cdot 1 + 4 x^{6} + 4 (3 x^{4}) + 4 (3 x^{2}) + 4 \cdot 1) (x^{7} (2 x) + x^{7} (2 \cdot - 1) + 7 {(x - 1)}^{2} x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.7.9.2

$x^{4}$ को $x$ से गुणा करें.

और स्टेप्स के लिए टैप करें…

चरण 10.4.7.9.2.1

$x$ को $1$ के घात तक बढ़ाएं.

$\frac{(x^{8} + 3 x^{6} + 3 x^{4} + x^{2} + 4 x^{7} + 4 \cdot 3 (x^{4} x^{1}) + 4 x (3 x^{2}) + 4 x \cdot 1 + 4 x^{6} + 4 (3 x^{4}) + 4 (3 x^{2}) + 4 \cdot 1) (x^{7} (2 x) + x^{7} (2 \cdot - 1) + 7 {(x - 1)}^{2} x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.7.9.2.2

घातांकों को संयोजित करने के लिए घात नियम $a^{m} a^{n} = a^{m + n}$ का उपयोग करें.

$\frac{(x^{8} + 3 x^{6} + 3 x^{4} + x^{2} + 4 x^{7} + 4 \cdot 3 x^{4 + 1} + 4 x (3 x^{2}) + 4 x \cdot 1 + 4 x^{6} + 4 (3 x^{4}) + 4 (3 x^{2}) + 4 \cdot 1) (x^{7} (2 x) + x^{7} (2 \cdot - 1) + 7 {(x - 1)}^{2} x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.7.9.3

$4$ और $1$ जोड़ें.

$\frac{(x^{8} + 3 x^{6} + 3 x^{4} + x^{2} + 4 x^{7} + 4 \cdot 3 x^{5} + 4 x (3 x^{2}) + 4 x \cdot 1 + 4 x^{6} + 4 (3 x^{4}) + 4 (3 x^{2}) + 4 \cdot 1) (x^{7} (2 x) + x^{7} (2 \cdot - 1) + 7 {(x - 1)}^{2} x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.7.10

$4$ को $3$ से गुणा करें.

$\frac{(x^{8} + 3 x^{6} + 3 x^{4} + x^{2} + 4 x^{7} + 12 x^{5} + 4 x (3 x^{2}) + 4 x \cdot 1 + 4 x^{6} + 4 (3 x^{4}) + 4 (3 x^{2}) + 4 \cdot 1) (x^{7} (2 x) + x^{7} (2 \cdot - 1) + 7 {(x - 1)}^{2} x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.7.11

गुणन के क्रमविनिमेय गुण का उपयोग करके फिर से लिखें.

$\frac{(x^{8} + 3 x^{6} + 3 x^{4} + x^{2} + 4 x^{7} + 12 x^{5} + 4 \cdot 3 x \cdot x^{2} + 4 x \cdot 1 + 4 x^{6} + 4 (3 x^{4}) + 4 (3 x^{2}) + 4 \cdot 1) (x^{7} (2 x) + x^{7} (2 \cdot - 1) + 7 {(x - 1)}^{2} x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.7.12

घातांक जोड़कर $x$ को $x^{2}$ से गुणा करें.

और स्टेप्स के लिए टैप करें…

चरण 10.4.7.12.1

$x^{2}$ ले जाएं.

$\frac{(x^{8} + 3 x^{6} + 3 x^{4} + x^{2} + 4 x^{7} + 12 x^{5} + 4 \cdot 3 (x^{2} x) + 4 x \cdot 1 + 4 x^{6} + 4 (3 x^{4}) + 4 (3 x^{2}) + 4 \cdot 1) (x^{7} (2 x) + x^{7} (2 \cdot - 1) + 7 {(x - 1)}^{2} x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.7.12.2

$x^{2}$ को $x$ से गुणा करें.

और स्टेप्स के लिए टैप करें…

चरण 10.4.7.12.2.1

$x$ को $1$ के घात तक बढ़ाएं.

$\frac{(x^{8} + 3 x^{6} + 3 x^{4} + x^{2} + 4 x^{7} + 12 x^{5} + 4 \cdot 3 (x^{2} x^{1}) + 4 x \cdot 1 + 4 x^{6} + 4 (3 x^{4}) + 4 (3 x^{2}) + 4 \cdot 1) (x^{7} (2 x) + x^{7} (2 \cdot - 1) + 7 {(x - 1)}^{2} x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.7.12.2.2

घातांकों को संयोजित करने के लिए घात नियम $a^{m} a^{n} = a^{m + n}$ का उपयोग करें.

$\frac{(x^{8} + 3 x^{6} + 3 x^{4} + x^{2} + 4 x^{7} + 12 x^{5} + 4 \cdot 3 x^{2 + 1} + 4 x \cdot 1 + 4 x^{6} + 4 (3 x^{4}) + 4 (3 x^{2}) + 4 \cdot 1) (x^{7} (2 x) + x^{7} (2 \cdot - 1) + 7 {(x - 1)}^{2} x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.7.12.3

$2$ और $1$ जोड़ें.

$\frac{(x^{8} + 3 x^{6} + 3 x^{4} + x^{2} + 4 x^{7} + 12 x^{5} + 4 \cdot 3 x^{3} + 4 x \cdot 1 + 4 x^{6} + 4 (3 x^{4}) + 4 (3 x^{2}) + 4 \cdot 1) (x^{7} (2 x) + x^{7} (2 \cdot - 1) + 7 {(x - 1)}^{2} x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.7.13

$4$ को $3$ से गुणा करें.

$\frac{(x^{8} + 3 x^{6} + 3 x^{4} + x^{2} + 4 x^{7} + 12 x^{5} + 12 x^{3} + 4 x \cdot 1 + 4 x^{6} + 4 (3 x^{4}) + 4 (3 x^{2}) + 4 \cdot 1) (x^{7} (2 x) + x^{7} (2 \cdot - 1) + 7 {(x - 1)}^{2} x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.7.14

$4$ को $1$ से गुणा करें.

$\frac{(x^{8} + 3 x^{6} + 3 x^{4} + x^{2} + 4 x^{7} + 12 x^{5} + 12 x^{3} + 4 x + 4 x^{6} + 4 (3 x^{4}) + 4 (3 x^{2}) + 4 \cdot 1) (x^{7} (2 x) + x^{7} (2 \cdot - 1) + 7 {(x - 1)}^{2} x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.7.15

$3$ को $4$ से गुणा करें.

$\frac{(x^{8} + 3 x^{6} + 3 x^{4} + x^{2} + 4 x^{7} + 12 x^{5} + 12 x^{3} + 4 x + 4 x^{6} + 12 x^{4} + 4 (3 x^{2}) + 4 \cdot 1) (x^{7} (2 x) + x^{7} (2 \cdot - 1) + 7 {(x - 1)}^{2} x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.7.16

$3$ को $4$ से गुणा करें.

$\frac{(x^{8} + 3 x^{6} + 3 x^{4} + x^{2} + 4 x^{7} + 12 x^{5} + 12 x^{3} + 4 x + 4 x^{6} + 12 x^{4} + 12 x^{2} + 4 \cdot 1) (x^{7} (2 x) + x^{7} (2 \cdot - 1) + 7 {(x - 1)}^{2} x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.7.17

$4$ को $1$ से गुणा करें.

$\frac{(x^{8} + 3 x^{6} + 3 x^{4} + x^{2} + 4 x^{7} + 12 x^{5} + 12 x^{3} + 4 x + 4 x^{6} + 12 x^{4} + 12 x^{2} + 4) (x^{7} (2 x) + x^{7} (2 \cdot - 1) + 7 {(x - 1)}^{2} x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.8

$3 x^{6}$ और $4 x^{6}$ जोड़ें.

$\frac{(x^{8} + 7 x^{6} + 3 x^{4} + x^{2} + 4 x^{7} + 12 x^{5} + 12 x^{3} + 4 x + 12 x^{4} + 12 x^{2} + 4) (x^{7} (2 x) + x^{7} (2 \cdot - 1) + 7 {(x - 1)}^{2} x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.9

$3 x^{4}$ और $12 x^{4}$ जोड़ें.

$\frac{(x^{8} + 7 x^{6} + 15 x^{4} + x^{2} + 4 x^{7} + 12 x^{5} + 12 x^{3} + 4 x + 12 x^{2} + 4) (x^{7} (2 x) + x^{7} (2 \cdot - 1) + 7 {(x - 1)}^{2} x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.10

$x^{2}$ और $12 x^{2}$ जोड़ें.

$\frac{(x^{8} + 7 x^{6} + 15 x^{4} + 4 x^{7} + 12 x^{5} + 12 x^{3} + 4 x + 13 x^{2} + 4) (x^{7} (2 x) + x^{7} (2 \cdot - 1) + 7 {(x - 1)}^{2} x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.11

प्रत्येक पद को सरल करें.

और स्टेप्स के लिए टैप करें…

चरण 10.4.11.1

गुणन के क्रमविनिमेय गुण का उपयोग करके फिर से लिखें.

$\frac{(x^{8} + 7 x^{6} + 15 x^{4} + 4 x^{7} + 12 x^{5} + 12 x^{3} + 4 x + 13 x^{2} + 4) (2 x^{7} x + x^{7} (2 \cdot - 1) + 7 {(x - 1)}^{2} x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.11.2

घातांक जोड़कर $x^{7}$ को $x$ से गुणा करें.

और स्टेप्स के लिए टैप करें…

चरण 10.4.11.2.1

$x$ ले जाएं.

$\frac{(x^{8} + 7 x^{6} + 15 x^{4} + 4 x^{7} + 12 x^{5} + 12 x^{3} + 4 x + 13 x^{2} + 4) (2 (x \cdot x^{7}) + x^{7} (2 \cdot - 1) + 7 {(x - 1)}^{2} x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.11.2.2

$x$ को $x^{7}$ से गुणा करें.

और स्टेप्स के लिए टैप करें…

चरण 10.4.11.2.2.1

$x$ को $1$ के घात तक बढ़ाएं.

$\frac{(x^{8} + 7 x^{6} + 15 x^{4} + 4 x^{7} + 12 x^{5} + 12 x^{3} + 4 x + 13 x^{2} + 4) (2 (x^{1} x^{7}) + x^{7} (2 \cdot - 1) + 7 {(x - 1)}^{2} x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.11.2.2.2

घातांकों को संयोजित करने के लिए घात नियम $a^{m} a^{n} = a^{m + n}$ का उपयोग करें.

$\frac{(x^{8} + 7 x^{6} + 15 x^{4} + 4 x^{7} + 12 x^{5} + 12 x^{3} + 4 x + 13 x^{2} + 4) (2 x^{1 + 7} + x^{7} (2 \cdot - 1) + 7 {(x - 1)}^{2} x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.11.2.3

$1$ और $7$ जोड़ें.

$\frac{(x^{8} + 7 x^{6} + 15 x^{4} + 4 x^{7} + 12 x^{5} + 12 x^{3} + 4 x + 13 x^{2} + 4) (2 x^{8} + x^{7} (2 \cdot - 1) + 7 {(x - 1)}^{2} x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.11.3

$2$ को $- 1$ से गुणा करें.

$\frac{(x^{8} + 7 x^{6} + 15 x^{4} + 4 x^{7} + 12 x^{5} + 12 x^{3} + 4 x + 13 x^{2} + 4) (2 x^{8} + x^{7} \cdot - 2 + 7 {(x - 1)}^{2} x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.11.4

$- 2$ को $x^{7}$ के बाईं ओर ले जाएं.

$\frac{(x^{8} + 7 x^{6} + 15 x^{4} + 4 x^{7} + 12 x^{5} + 12 x^{3} + 4 x + 13 x^{2} + 4) (2 x^{8} - 2 \cdot x^{7} + 7 {(x - 1)}^{2} x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.11.5

${(x - 1)}^{2}$ को $(x - 1) (x - 1)$ के रूप में फिर से लिखें.

$\frac{(x^{8} + 7 x^{6} + 15 x^{4} + 4 x^{7} + 12 x^{5} + 12 x^{3} + 4 x + 13 x^{2} + 4) (2 x^{8} - 2 x^{7} + 7 ((x - 1) (x - 1)) x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.11.6

FOIL विधि का उपयोग करके $(x - 1) (x - 1)$ का प्रसार करें.

और स्टेप्स के लिए टैप करें…

चरण 10.4.11.6.1

वितरण गुणधर्म लागू करें.

$\frac{(x^{8} + 7 x^{6} + 15 x^{4} + 4 x^{7} + 12 x^{5} + 12 x^{3} + 4 x + 13 x^{2} + 4) (2 x^{8} - 2 x^{7} + 7 (x (x - 1) - 1 (x - 1)) x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.11.6.2

वितरण गुणधर्म लागू करें.

$\frac{(x^{8} + 7 x^{6} + 15 x^{4} + 4 x^{7} + 12 x^{5} + 12 x^{3} + 4 x + 13 x^{2} + 4) (2 x^{8} - 2 x^{7} + 7 (x \cdot x + x \cdot - 1 - 1 (x - 1)) x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.11.6.3

वितरण गुणधर्म लागू करें.

$\frac{(x^{8} + 7 x^{6} + 15 x^{4} + 4 x^{7} + 12 x^{5} + 12 x^{3} + 4 x + 13 x^{2} + 4) (2 x^{8} - 2 x^{7} + 7 (x \cdot x + x \cdot - 1 - 1 x - 1 \cdot - 1) x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.11.7

समान पदों को सरल और संयोजित करें.

और स्टेप्स के लिए टैप करें…

चरण 10.4.11.7.1

प्रत्येक पद को सरल करें.

और स्टेप्स के लिए टैप करें…

चरण 10.4.11.7.1.1

$x$ को $x$ से गुणा करें.

$\frac{(x^{8} + 7 x^{6} + 15 x^{4} + 4 x^{7} + 12 x^{5} + 12 x^{3} + 4 x + 13 x^{2} + 4) (2 x^{8} - 2 x^{7} + 7 (x^{2} + x \cdot - 1 - 1 x - 1 \cdot - 1) x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.11.7.1.2

$- 1$ को $x$ के बाईं ओर ले जाएं.

$\frac{(x^{8} + 7 x^{6} + 15 x^{4} + 4 x^{7} + 12 x^{5} + 12 x^{3} + 4 x + 13 x^{2} + 4) (2 x^{8} - 2 x^{7} + 7 (x^{2} - 1 \cdot x - 1 x - 1 \cdot - 1) x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.11.7.1.3

$- 1 x$ को $- x$ के रूप में फिर से लिखें.

$\frac{(x^{8} + 7 x^{6} + 15 x^{4} + 4 x^{7} + 12 x^{5} + 12 x^{3} + 4 x + 13 x^{2} + 4) (2 x^{8} - 2 x^{7} + 7 (x^{2} - x - 1 x - 1 \cdot - 1) x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.11.7.1.4

$- 1 x$ को $- x$ के रूप में फिर से लिखें.

$\frac{(x^{8} + 7 x^{6} + 15 x^{4} + 4 x^{7} + 12 x^{5} + 12 x^{3} + 4 x + 13 x^{2} + 4) (2 x^{8} - 2 x^{7} + 7 (x^{2} - x - x - 1 \cdot - 1) x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.11.7.1.5

$- 1$ को $- 1$ से गुणा करें.

$\frac{(x^{8} + 7 x^{6} + 15 x^{4} + 4 x^{7} + 12 x^{5} + 12 x^{3} + 4 x + 13 x^{2} + 4) (2 x^{8} - 2 x^{7} + 7 (x^{2} - x - x + 1) x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.11.7.2

$- x$ में से $x$ घटाएं.

$\frac{(x^{8} + 7 x^{6} + 15 x^{4} + 4 x^{7} + 12 x^{5} + 12 x^{3} + 4 x + 13 x^{2} + 4) (2 x^{8} - 2 x^{7} + 7 (x^{2} - 2 x + 1) x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.11.8

वितरण गुणधर्म लागू करें.

$\frac{(x^{8} + 7 x^{6} + 15 x^{4} + 4 x^{7} + 12 x^{5} + 12 x^{3} + 4 x + 13 x^{2} + 4) (2 x^{8} - 2 x^{7} + (7 x^{2} + 7 (- 2 x) + 7 \cdot 1) x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.11.9

सरल करें.

और स्टेप्स के लिए टैप करें…

चरण 10.4.11.9.1

$- 2$ को $7$ से गुणा करें.

$\frac{(x^{8} + 7 x^{6} + 15 x^{4} + 4 x^{7} + 12 x^{5} + 12 x^{3} + 4 x + 13 x^{2} + 4) (2 x^{8} - 2 x^{7} + (7 x^{2} - 14 x + 7 \cdot 1) x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.11.9.2

$7$ को $1$ से गुणा करें.

$\frac{(x^{8} + 7 x^{6} + 15 x^{4} + 4 x^{7} + 12 x^{5} + 12 x^{3} + 4 x + 13 x^{2} + 4) (2 x^{8} - 2 x^{7} + (7 x^{2} - 14 x + 7) x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.11.10

वितरण गुणधर्म लागू करें.

$\frac{(x^{8} + 7 x^{6} + 15 x^{4} + 4 x^{7} + 12 x^{5} + 12 x^{3} + 4 x + 13 x^{2} + 4) (2 x^{8} - 2 x^{7} + 7 x^{2} x^{6} - 14 x \cdot x^{6} + 7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.11.11

सरल करें.

और स्टेप्स के लिए टैप करें…

चरण 10.4.11.11.1

घातांक जोड़कर $x^{2}$ को $x^{6}$ से गुणा करें.

और स्टेप्स के लिए टैप करें…

चरण 10.4.11.11.1.1

$x^{6}$ ले जाएं.

$\frac{(x^{8} + 7 x^{6} + 15 x^{4} + 4 x^{7} + 12 x^{5} + 12 x^{3} + 4 x + 13 x^{2} + 4) (2 x^{8} - 2 x^{7} + 7 (x^{6} x^{2}) - 14 x \cdot x^{6} + 7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.11.11.1.2

घातांकों को संयोजित करने के लिए घात नियम $a^{m} a^{n} = a^{m + n}$ का उपयोग करें.

$\frac{(x^{8} + 7 x^{6} + 15 x^{4} + 4 x^{7} + 12 x^{5} + 12 x^{3} + 4 x + 13 x^{2} + 4) (2 x^{8} - 2 x^{7} + 7 x^{6 + 2} - 14 x \cdot x^{6} + 7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.11.11.1.3

$6$ और $2$ जोड़ें.

$\frac{(x^{8} + 7 x^{6} + 15 x^{4} + 4 x^{7} + 12 x^{5} + 12 x^{3} + 4 x + 13 x^{2} + 4) (2 x^{8} - 2 x^{7} + 7 x^{8} - 14 x \cdot x^{6} + 7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.11.11.2

घातांक जोड़कर $x$ को $x^{6}$ से गुणा करें.

और स्टेप्स के लिए टैप करें…

चरण 10.4.11.11.2.1

$x^{6}$ ले जाएं.

$\frac{(x^{8} + 7 x^{6} + 15 x^{4} + 4 x^{7} + 12 x^{5} + 12 x^{3} + 4 x + 13 x^{2} + 4) (2 x^{8} - 2 x^{7} + 7 x^{8} - 14 (x^{6} x) + 7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.11.11.2.2

$x^{6}$ को $x$ से गुणा करें.

और स्टेप्स के लिए टैप करें…

चरण 10.4.11.11.2.2.1

$x$ को $1$ के घात तक बढ़ाएं.

$\frac{(x^{8} + 7 x^{6} + 15 x^{4} + 4 x^{7} + 12 x^{5} + 12 x^{3} + 4 x + 13 x^{2} + 4) (2 x^{8} - 2 x^{7} + 7 x^{8} - 14 (x^{6} x^{1}) + 7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.11.11.2.2.2

घातांकों को संयोजित करने के लिए घात नियम $a^{m} a^{n} = a^{m + n}$ का उपयोग करें.

$\frac{(x^{8} + 7 x^{6} + 15 x^{4} + 4 x^{7} + 12 x^{5} + 12 x^{3} + 4 x + 13 x^{2} + 4) (2 x^{8} - 2 x^{7} + 7 x^{8} - 14 x^{6 + 1} + 7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.11.11.2.3

$6$ और $1$ जोड़ें.

$\frac{(x^{8} + 7 x^{6} + 15 x^{4} + 4 x^{7} + 12 x^{5} + 12 x^{3} + 4 x + 13 x^{2} + 4) (2 x^{8} - 2 x^{7} + 7 x^{8} - 14 x^{7} + 7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.12

$2 x^{8}$ और $7 x^{8}$ जोड़ें.

$\frac{(x^{8} + 7 x^{6} + 15 x^{4} + 4 x^{7} + 12 x^{5} + 12 x^{3} + 4 x + 13 x^{2} + 4) (9 x^{8} - 2 x^{7} - 14 x^{7} + 7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.13

$- 2 x^{7}$ में से $14 x^{7}$ घटाएं.

$\frac{(x^{8} + 7 x^{6} + 15 x^{4} + 4 x^{7} + 12 x^{5} + 12 x^{3} + 4 x + 13 x^{2} + 4) (9 x^{8} - 16 x^{7} + 7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.14

प्रथम व्यंजक के प्रत्येक पद को द्वितीय व्यंजक के प्रत्येक पद से गुणा करके $(x^{8} + 7 x^{6} + 15 x^{4} + 4 x^{7} + 12 x^{5} + 12 x^{3} + 4 x + 13 x^{2} + 4) (9 x^{8} - 16 x^{7} + 7 x^{6})$ का प्रसार करें.

$\frac{x^{8} (9 x^{8}) + x^{8} (- 16 x^{7}) + x^{8} (7 x^{6}) + 7 x^{6} (9 x^{8}) + 7 x^{6} (- 16 x^{7}) + 7 x^{6} (7 x^{6}) + 15 x^{4} (9 x^{8}) + 15 x^{4} (- 16 x^{7}) + 15 x^{4} (7 x^{6}) + 4 x^{7} (9 x^{8}) + 4 x^{7} (- 16 x^{7}) + 4 x^{7} (7 x^{6}) + 12 x^{5} (9 x^{8}) + 12 x^{5} (- 16 x^{7}) + 12 x^{5} (7 x^{6}) + 12 x^{3} (9 x^{8}) + 12 x^{3} (- 16 x^{7}) + 12 x^{3} (7 x^{6}) + 4 x (9 x^{8}) + 4 x (- 16 x^{7}) + 4 x (7 x^{6}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.15

प्रत्येक पद को सरल करें.

और स्टेप्स के लिए टैप करें…

चरण 10.4.15.1

गुणन के क्रमविनिमेय गुण का उपयोग करके फिर से लिखें.

$\frac{9 x^{8} x^{8} + x^{8} (- 16 x^{7}) + x^{8} (7 x^{6}) + 7 x^{6} (9 x^{8}) + 7 x^{6} (- 16 x^{7}) + 7 x^{6} (7 x^{6}) + 15 x^{4} (9 x^{8}) + 15 x^{4} (- 16 x^{7}) + 15 x^{4} (7 x^{6}) + 4 x^{7} (9 x^{8}) + 4 x^{7} (- 16 x^{7}) + 4 x^{7} (7 x^{6}) + 12 x^{5} (9 x^{8}) + 12 x^{5} (- 16 x^{7}) + 12 x^{5} (7 x^{6}) + 12 x^{3} (9 x^{8}) + 12 x^{3} (- 16 x^{7}) + 12 x^{3} (7 x^{6}) + 4 x (9 x^{8}) + 4 x (- 16 x^{7}) + 4 x (7 x^{6}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.15.2

घातांक जोड़कर $x^{8}$ को $x^{8}$ से गुणा करें.

और स्टेप्स के लिए टैप करें…

चरण 10.4.15.2.1

$x^{8}$ ले जाएं.

$\frac{9 (x^{8} x^{8}) + x^{8} (- 16 x^{7}) + x^{8} (7 x^{6}) + 7 x^{6} (9 x^{8}) + 7 x^{6} (- 16 x^{7}) + 7 x^{6} (7 x^{6}) + 15 x^{4} (9 x^{8}) + 15 x^{4} (- 16 x^{7}) + 15 x^{4} (7 x^{6}) + 4 x^{7} (9 x^{8}) + 4 x^{7} (- 16 x^{7}) + 4 x^{7} (7 x^{6}) + 12 x^{5} (9 x^{8}) + 12 x^{5} (- 16 x^{7}) + 12 x^{5} (7 x^{6}) + 12 x^{3} (9 x^{8}) + 12 x^{3} (- 16 x^{7}) + 12 x^{3} (7 x^{6}) + 4 x (9 x^{8}) + 4 x (- 16 x^{7}) + 4 x (7 x^{6}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.15.2.2

घातांकों को संयोजित करने के लिए घात नियम $a^{m} a^{n} = a^{m + n}$ का उपयोग करें.

$\frac{9 x^{8 + 8} + x^{8} (- 16 x^{7}) + x^{8} (7 x^{6}) + 7 x^{6} (9 x^{8}) + 7 x^{6} (- 16 x^{7}) + 7 x^{6} (7 x^{6}) + 15 x^{4} (9 x^{8}) + 15 x^{4} (- 16 x^{7}) + 15 x^{4} (7 x^{6}) + 4 x^{7} (9 x^{8}) + 4 x^{7} (- 16 x^{7}) + 4 x^{7} (7 x^{6}) + 12 x^{5} (9 x^{8}) + 12 x^{5} (- 16 x^{7}) + 12 x^{5} (7 x^{6}) + 12 x^{3} (9 x^{8}) + 12 x^{3} (- 16 x^{7}) + 12 x^{3} (7 x^{6}) + 4 x (9 x^{8}) + 4 x (- 16 x^{7}) + 4 x (7 x^{6}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.15.2.3

$8$ और $8$ जोड़ें.

$\frac{9 x^{16} + x^{8} (- 16 x^{7}) + x^{8} (7 x^{6}) + 7 x^{6} (9 x^{8}) + 7 x^{6} (- 16 x^{7}) + 7 x^{6} (7 x^{6}) + 15 x^{4} (9 x^{8}) + 15 x^{4} (- 16 x^{7}) + 15 x^{4} (7 x^{6}) + 4 x^{7} (9 x^{8}) + 4 x^{7} (- 16 x^{7}) + 4 x^{7} (7 x^{6}) + 12 x^{5} (9 x^{8}) + 12 x^{5} (- 16 x^{7}) + 12 x^{5} (7 x^{6}) + 12 x^{3} (9 x^{8}) + 12 x^{3} (- 16 x^{7}) + 12 x^{3} (7 x^{6}) + 4 x (9 x^{8}) + 4 x (- 16 x^{7}) + 4 x (7 x^{6}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.15.3

गुणन के क्रमविनिमेय गुण का उपयोग करके फिर से लिखें.

$\frac{9 x^{16} - 16 x^{8} x^{7} + x^{8} (7 x^{6}) + 7 x^{6} (9 x^{8}) + 7 x^{6} (- 16 x^{7}) + 7 x^{6} (7 x^{6}) + 15 x^{4} (9 x^{8}) + 15 x^{4} (- 16 x^{7}) + 15 x^{4} (7 x^{6}) + 4 x^{7} (9 x^{8}) + 4 x^{7} (- 16 x^{7}) + 4 x^{7} (7 x^{6}) + 12 x^{5} (9 x^{8}) + 12 x^{5} (- 16 x^{7}) + 12 x^{5} (7 x^{6}) + 12 x^{3} (9 x^{8}) + 12 x^{3} (- 16 x^{7}) + 12 x^{3} (7 x^{6}) + 4 x (9 x^{8}) + 4 x (- 16 x^{7}) + 4 x (7 x^{6}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.15.4

घातांक जोड़कर $x^{8}$ को $x^{7}$ से गुणा करें.

और स्टेप्स के लिए टैप करें…

चरण 10.4.15.4.1

$x^{7}$ ले जाएं.

$\frac{9 x^{16} - 16 (x^{7} x^{8}) + x^{8} (7 x^{6}) + 7 x^{6} (9 x^{8}) + 7 x^{6} (- 16 x^{7}) + 7 x^{6} (7 x^{6}) + 15 x^{4} (9 x^{8}) + 15 x^{4} (- 16 x^{7}) + 15 x^{4} (7 x^{6}) + 4 x^{7} (9 x^{8}) + 4 x^{7} (- 16 x^{7}) + 4 x^{7} (7 x^{6}) + 12 x^{5} (9 x^{8}) + 12 x^{5} (- 16 x^{7}) + 12 x^{5} (7 x^{6}) + 12 x^{3} (9 x^{8}) + 12 x^{3} (- 16 x^{7}) + 12 x^{3} (7 x^{6}) + 4 x (9 x^{8}) + 4 x (- 16 x^{7}) + 4 x (7 x^{6}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.15.4.2

घातांकों को संयोजित करने के लिए घात नियम $a^{m} a^{n} = a^{m + n}$ का उपयोग करें.

$\frac{9 x^{16} - 16 x^{7 + 8} + x^{8} (7 x^{6}) + 7 x^{6} (9 x^{8}) + 7 x^{6} (- 16 x^{7}) + 7 x^{6} (7 x^{6}) + 15 x^{4} (9 x^{8}) + 15 x^{4} (- 16 x^{7}) + 15 x^{4} (7 x^{6}) + 4 x^{7} (9 x^{8}) + 4 x^{7} (- 16 x^{7}) + 4 x^{7} (7 x^{6}) + 12 x^{5} (9 x^{8}) + 12 x^{5} (- 16 x^{7}) + 12 x^{5} (7 x^{6}) + 12 x^{3} (9 x^{8}) + 12 x^{3} (- 16 x^{7}) + 12 x^{3} (7 x^{6}) + 4 x (9 x^{8}) + 4 x (- 16 x^{7}) + 4 x (7 x^{6}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.15.4.3

$7$ और $8$ जोड़ें.

$\frac{9 x^{16} - 16 x^{15} + x^{8} (7 x^{6}) + 7 x^{6} (9 x^{8}) + 7 x^{6} (- 16 x^{7}) + 7 x^{6} (7 x^{6}) + 15 x^{4} (9 x^{8}) + 15 x^{4} (- 16 x^{7}) + 15 x^{4} (7 x^{6}) + 4 x^{7} (9 x^{8}) + 4 x^{7} (- 16 x^{7}) + 4 x^{7} (7 x^{6}) + 12 x^{5} (9 x^{8}) + 12 x^{5} (- 16 x^{7}) + 12 x^{5} (7 x^{6}) + 12 x^{3} (9 x^{8}) + 12 x^{3} (- 16 x^{7}) + 12 x^{3} (7 x^{6}) + 4 x (9 x^{8}) + 4 x (- 16 x^{7}) + 4 x (7 x^{6}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.15.5

गुणन के क्रमविनिमेय गुण का उपयोग करके फिर से लिखें.

$\frac{9 x^{16} - 16 x^{15} + 7 x^{8} x^{6} + 7 x^{6} (9 x^{8}) + 7 x^{6} (- 16 x^{7}) + 7 x^{6} (7 x^{6}) + 15 x^{4} (9 x^{8}) + 15 x^{4} (- 16 x^{7}) + 15 x^{4} (7 x^{6}) + 4 x^{7} (9 x^{8}) + 4 x^{7} (- 16 x^{7}) + 4 x^{7} (7 x^{6}) + 12 x^{5} (9 x^{8}) + 12 x^{5} (- 16 x^{7}) + 12 x^{5} (7 x^{6}) + 12 x^{3} (9 x^{8}) + 12 x^{3} (- 16 x^{7}) + 12 x^{3} (7 x^{6}) + 4 x (9 x^{8}) + 4 x (- 16 x^{7}) + 4 x (7 x^{6}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.15.6

घातांक जोड़कर $x^{8}$ को $x^{6}$ से गुणा करें.

और स्टेप्स के लिए टैप करें…

चरण 10.4.15.6.1

$x^{6}$ ले जाएं.

$\frac{9 x^{16} - 16 x^{15} + 7 (x^{6} x^{8}) + 7 x^{6} (9 x^{8}) + 7 x^{6} (- 16 x^{7}) + 7 x^{6} (7 x^{6}) + 15 x^{4} (9 x^{8}) + 15 x^{4} (- 16 x^{7}) + 15 x^{4} (7 x^{6}) + 4 x^{7} (9 x^{8}) + 4 x^{7} (- 16 x^{7}) + 4 x^{7} (7 x^{6}) + 12 x^{5} (9 x^{8}) + 12 x^{5} (- 16 x^{7}) + 12 x^{5} (7 x^{6}) + 12 x^{3} (9 x^{8}) + 12 x^{3} (- 16 x^{7}) + 12 x^{3} (7 x^{6}) + 4 x (9 x^{8}) + 4 x (- 16 x^{7}) + 4 x (7 x^{6}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.15.6.2

घातांकों को संयोजित करने के लिए घात नियम $a^{m} a^{n} = a^{m + n}$ का उपयोग करें.

$\frac{9 x^{16} - 16 x^{15} + 7 x^{6 + 8} + 7 x^{6} (9 x^{8}) + 7 x^{6} (- 16 x^{7}) + 7 x^{6} (7 x^{6}) + 15 x^{4} (9 x^{8}) + 15 x^{4} (- 16 x^{7}) + 15 x^{4} (7 x^{6}) + 4 x^{7} (9 x^{8}) + 4 x^{7} (- 16 x^{7}) + 4 x^{7} (7 x^{6}) + 12 x^{5} (9 x^{8}) + 12 x^{5} (- 16 x^{7}) + 12 x^{5} (7 x^{6}) + 12 x^{3} (9 x^{8}) + 12 x^{3} (- 16 x^{7}) + 12 x^{3} (7 x^{6}) + 4 x (9 x^{8}) + 4 x (- 16 x^{7}) + 4 x (7 x^{6}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.15.6.3

$6$ और $8$ जोड़ें.

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 7 x^{6} (9 x^{8}) + 7 x^{6} (- 16 x^{7}) + 7 x^{6} (7 x^{6}) + 15 x^{4} (9 x^{8}) + 15 x^{4} (- 16 x^{7}) + 15 x^{4} (7 x^{6}) + 4 x^{7} (9 x^{8}) + 4 x^{7} (- 16 x^{7}) + 4 x^{7} (7 x^{6}) + 12 x^{5} (9 x^{8}) + 12 x^{5} (- 16 x^{7}) + 12 x^{5} (7 x^{6}) + 12 x^{3} (9 x^{8}) + 12 x^{3} (- 16 x^{7}) + 12 x^{3} (7 x^{6}) + 4 x (9 x^{8}) + 4 x (- 16 x^{7}) + 4 x (7 x^{6}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.15.7

गुणन के क्रमविनिमेय गुण का उपयोग करके फिर से लिखें.

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 7 \cdot 9 x^{6} x^{8} + 7 x^{6} (- 16 x^{7}) + 7 x^{6} (7 x^{6}) + 15 x^{4} (9 x^{8}) + 15 x^{4} (- 16 x^{7}) + 15 x^{4} (7 x^{6}) + 4 x^{7} (9 x^{8}) + 4 x^{7} (- 16 x^{7}) + 4 x^{7} (7 x^{6}) + 12 x^{5} (9 x^{8}) + 12 x^{5} (- 16 x^{7}) + 12 x^{5} (7 x^{6}) + 12 x^{3} (9 x^{8}) + 12 x^{3} (- 16 x^{7}) + 12 x^{3} (7 x^{6}) + 4 x (9 x^{8}) + 4 x (- 16 x^{7}) + 4 x (7 x^{6}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.15.8

घातांक जोड़कर $x^{6}$ को $x^{8}$ से गुणा करें.

और स्टेप्स के लिए टैप करें…

चरण 10.4.15.8.1

$x^{8}$ ले जाएं.

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 7 \cdot 9 (x^{8} x^{6}) + 7 x^{6} (- 16 x^{7}) + 7 x^{6} (7 x^{6}) + 15 x^{4} (9 x^{8}) + 15 x^{4} (- 16 x^{7}) + 15 x^{4} (7 x^{6}) + 4 x^{7} (9 x^{8}) + 4 x^{7} (- 16 x^{7}) + 4 x^{7} (7 x^{6}) + 12 x^{5} (9 x^{8}) + 12 x^{5} (- 16 x^{7}) + 12 x^{5} (7 x^{6}) + 12 x^{3} (9 x^{8}) + 12 x^{3} (- 16 x^{7}) + 12 x^{3} (7 x^{6}) + 4 x (9 x^{8}) + 4 x (- 16 x^{7}) + 4 x (7 x^{6}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.15.8.2

घातांकों को संयोजित करने के लिए घात नियम $a^{m} a^{n} = a^{m + n}$ का उपयोग करें.

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 7 \cdot 9 x^{8 + 6} + 7 x^{6} (- 16 x^{7}) + 7 x^{6} (7 x^{6}) + 15 x^{4} (9 x^{8}) + 15 x^{4} (- 16 x^{7}) + 15 x^{4} (7 x^{6}) + 4 x^{7} (9 x^{8}) + 4 x^{7} (- 16 x^{7}) + 4 x^{7} (7 x^{6}) + 12 x^{5} (9 x^{8}) + 12 x^{5} (- 16 x^{7}) + 12 x^{5} (7 x^{6}) + 12 x^{3} (9 x^{8}) + 12 x^{3} (- 16 x^{7}) + 12 x^{3} (7 x^{6}) + 4 x (9 x^{8}) + 4 x (- 16 x^{7}) + 4 x (7 x^{6}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.15.8.3

$8$ और $6$ जोड़ें.

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 7 \cdot 9 x^{14} + 7 x^{6} (- 16 x^{7}) + 7 x^{6} (7 x^{6}) + 15 x^{4} (9 x^{8}) + 15 x^{4} (- 16 x^{7}) + 15 x^{4} (7 x^{6}) + 4 x^{7} (9 x^{8}) + 4 x^{7} (- 16 x^{7}) + 4 x^{7} (7 x^{6}) + 12 x^{5} (9 x^{8}) + 12 x^{5} (- 16 x^{7}) + 12 x^{5} (7 x^{6}) + 12 x^{3} (9 x^{8}) + 12 x^{3} (- 16 x^{7}) + 12 x^{3} (7 x^{6}) + 4 x (9 x^{8}) + 4 x (- 16 x^{7}) + 4 x (7 x^{6}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.15.9

$7$ को $9$ से गुणा करें.

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} + 7 x^{6} (- 16 x^{7}) + 7 x^{6} (7 x^{6}) + 15 x^{4} (9 x^{8}) + 15 x^{4} (- 16 x^{7}) + 15 x^{4} (7 x^{6}) + 4 x^{7} (9 x^{8}) + 4 x^{7} (- 16 x^{7}) + 4 x^{7} (7 x^{6}) + 12 x^{5} (9 x^{8}) + 12 x^{5} (- 16 x^{7}) + 12 x^{5} (7 x^{6}) + 12 x^{3} (9 x^{8}) + 12 x^{3} (- 16 x^{7}) + 12 x^{3} (7 x^{6}) + 4 x (9 x^{8}) + 4 x (- 16 x^{7}) + 4 x (7 x^{6}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.15.10

गुणन के क्रमविनिमेय गुण का उपयोग करके फिर से लिखें.

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} + 7 \cdot - 16 x^{6} x^{7} + 7 x^{6} (7 x^{6}) + 15 x^{4} (9 x^{8}) + 15 x^{4} (- 16 x^{7}) + 15 x^{4} (7 x^{6}) + 4 x^{7} (9 x^{8}) + 4 x^{7} (- 16 x^{7}) + 4 x^{7} (7 x^{6}) + 12 x^{5} (9 x^{8}) + 12 x^{5} (- 16 x^{7}) + 12 x^{5} (7 x^{6}) + 12 x^{3} (9 x^{8}) + 12 x^{3} (- 16 x^{7}) + 12 x^{3} (7 x^{6}) + 4 x (9 x^{8}) + 4 x (- 16 x^{7}) + 4 x (7 x^{6}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.15.11

घातांक जोड़कर $x^{6}$ को $x^{7}$ से गुणा करें.

और स्टेप्स के लिए टैप करें…

चरण 10.4.15.11.1

$x^{7}$ ले जाएं.

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} + 7 \cdot - 16 (x^{7} x^{6}) + 7 x^{6} (7 x^{6}) + 15 x^{4} (9 x^{8}) + 15 x^{4} (- 16 x^{7}) + 15 x^{4} (7 x^{6}) + 4 x^{7} (9 x^{8}) + 4 x^{7} (- 16 x^{7}) + 4 x^{7} (7 x^{6}) + 12 x^{5} (9 x^{8}) + 12 x^{5} (- 16 x^{7}) + 12 x^{5} (7 x^{6}) + 12 x^{3} (9 x^{8}) + 12 x^{3} (- 16 x^{7}) + 12 x^{3} (7 x^{6}) + 4 x (9 x^{8}) + 4 x (- 16 x^{7}) + 4 x (7 x^{6}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.15.11.2

घातांकों को संयोजित करने के लिए घात नियम $a^{m} a^{n} = a^{m + n}$ का उपयोग करें.

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} + 7 \cdot - 16 x^{7 + 6} + 7 x^{6} (7 x^{6}) + 15 x^{4} (9 x^{8}) + 15 x^{4} (- 16 x^{7}) + 15 x^{4} (7 x^{6}) + 4 x^{7} (9 x^{8}) + 4 x^{7} (- 16 x^{7}) + 4 x^{7} (7 x^{6}) + 12 x^{5} (9 x^{8}) + 12 x^{5} (- 16 x^{7}) + 12 x^{5} (7 x^{6}) + 12 x^{3} (9 x^{8}) + 12 x^{3} (- 16 x^{7}) + 12 x^{3} (7 x^{6}) + 4 x (9 x^{8}) + 4 x (- 16 x^{7}) + 4 x (7 x^{6}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.15.11.3

$7$ और $6$ जोड़ें.

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} + 7 \cdot - 16 x^{13} + 7 x^{6} (7 x^{6}) + 15 x^{4} (9 x^{8}) + 15 x^{4} (- 16 x^{7}) + 15 x^{4} (7 x^{6}) + 4 x^{7} (9 x^{8}) + 4 x^{7} (- 16 x^{7}) + 4 x^{7} (7 x^{6}) + 12 x^{5} (9 x^{8}) + 12 x^{5} (- 16 x^{7}) + 12 x^{5} (7 x^{6}) + 12 x^{3} (9 x^{8}) + 12 x^{3} (- 16 x^{7}) + 12 x^{3} (7 x^{6}) + 4 x (9 x^{8}) + 4 x (- 16 x^{7}) + 4 x (7 x^{6}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.15.12

$7$ को $- 16$ से गुणा करें.

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 7 x^{6} (7 x^{6}) + 15 x^{4} (9 x^{8}) + 15 x^{4} (- 16 x^{7}) + 15 x^{4} (7 x^{6}) + 4 x^{7} (9 x^{8}) + 4 x^{7} (- 16 x^{7}) + 4 x^{7} (7 x^{6}) + 12 x^{5} (9 x^{8}) + 12 x^{5} (- 16 x^{7}) + 12 x^{5} (7 x^{6}) + 12 x^{3} (9 x^{8}) + 12 x^{3} (- 16 x^{7}) + 12 x^{3} (7 x^{6}) + 4 x (9 x^{8}) + 4 x (- 16 x^{7}) + 4 x (7 x^{6}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.15.13

गुणन के क्रमविनिमेय गुण का उपयोग करके फिर से लिखें.

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 7 \cdot 7 x^{6} x^{6} + 15 x^{4} (9 x^{8}) + 15 x^{4} (- 16 x^{7}) + 15 x^{4} (7 x^{6}) + 4 x^{7} (9 x^{8}) + 4 x^{7} (- 16 x^{7}) + 4 x^{7} (7 x^{6}) + 12 x^{5} (9 x^{8}) + 12 x^{5} (- 16 x^{7}) + 12 x^{5} (7 x^{6}) + 12 x^{3} (9 x^{8}) + 12 x^{3} (- 16 x^{7}) + 12 x^{3} (7 x^{6}) + 4 x (9 x^{8}) + 4 x (- 16 x^{7}) + 4 x (7 x^{6}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.15.14

घातांक जोड़कर $x^{6}$ को $x^{6}$ से गुणा करें.

और स्टेप्स के लिए टैप करें…

चरण 10.4.15.14.1

$x^{6}$ ले जाएं.

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 7 \cdot 7 (x^{6} x^{6}) + 15 x^{4} (9 x^{8}) + 15 x^{4} (- 16 x^{7}) + 15 x^{4} (7 x^{6}) + 4 x^{7} (9 x^{8}) + 4 x^{7} (- 16 x^{7}) + 4 x^{7} (7 x^{6}) + 12 x^{5} (9 x^{8}) + 12 x^{5} (- 16 x^{7}) + 12 x^{5} (7 x^{6}) + 12 x^{3} (9 x^{8}) + 12 x^{3} (- 16 x^{7}) + 12 x^{3} (7 x^{6}) + 4 x (9 x^{8}) + 4 x (- 16 x^{7}) + 4 x (7 x^{6}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.15.14.2

घातांकों को संयोजित करने के लिए घात नियम $a^{m} a^{n} = a^{m + n}$ का उपयोग करें.

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 7 \cdot 7 x^{6 + 6} + 15 x^{4} (9 x^{8}) + 15 x^{4} (- 16 x^{7}) + 15 x^{4} (7 x^{6}) + 4 x^{7} (9 x^{8}) + 4 x^{7} (- 16 x^{7}) + 4 x^{7} (7 x^{6}) + 12 x^{5} (9 x^{8}) + 12 x^{5} (- 16 x^{7}) + 12 x^{5} (7 x^{6}) + 12 x^{3} (9 x^{8}) + 12 x^{3} (- 16 x^{7}) + 12 x^{3} (7 x^{6}) + 4 x (9 x^{8}) + 4 x (- 16 x^{7}) + 4 x (7 x^{6}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.15.14.3

$6$ और $6$ जोड़ें.

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 7 \cdot 7 x^{12} + 15 x^{4} (9 x^{8}) + 15 x^{4} (- 16 x^{7}) + 15 x^{4} (7 x^{6}) + 4 x^{7} (9 x^{8}) + 4 x^{7} (- 16 x^{7}) + 4 x^{7} (7 x^{6}) + 12 x^{5} (9 x^{8}) + 12 x^{5} (- 16 x^{7}) + 12 x^{5} (7 x^{6}) + 12 x^{3} (9 x^{8}) + 12 x^{3} (- 16 x^{7}) + 12 x^{3} (7 x^{6}) + 4 x (9 x^{8}) + 4 x (- 16 x^{7}) + 4 x (7 x^{6}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.15.15

$7$ को $7$ से गुणा करें.

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 49 x^{12} + 15 x^{4} (9 x^{8}) + 15 x^{4} (- 16 x^{7}) + 15 x^{4} (7 x^{6}) + 4 x^{7} (9 x^{8}) + 4 x^{7} (- 16 x^{7}) + 4 x^{7} (7 x^{6}) + 12 x^{5} (9 x^{8}) + 12 x^{5} (- 16 x^{7}) + 12 x^{5} (7 x^{6}) + 12 x^{3} (9 x^{8}) + 12 x^{3} (- 16 x^{7}) + 12 x^{3} (7 x^{6}) + 4 x (9 x^{8}) + 4 x (- 16 x^{7}) + 4 x (7 x^{6}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.15.16

गुणन के क्रमविनिमेय गुण का उपयोग करके फिर से लिखें.

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 49 x^{12} + 15 \cdot 9 x^{4} x^{8} + 15 x^{4} (- 16 x^{7}) + 15 x^{4} (7 x^{6}) + 4 x^{7} (9 x^{8}) + 4 x^{7} (- 16 x^{7}) + 4 x^{7} (7 x^{6}) + 12 x^{5} (9 x^{8}) + 12 x^{5} (- 16 x^{7}) + 12 x^{5} (7 x^{6}) + 12 x^{3} (9 x^{8}) + 12 x^{3} (- 16 x^{7}) + 12 x^{3} (7 x^{6}) + 4 x (9 x^{8}) + 4 x (- 16 x^{7}) + 4 x (7 x^{6}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.15.17

घातांक जोड़कर $x^{4}$ को $x^{8}$ से गुणा करें.

और स्टेप्स के लिए टैप करें…

चरण 10.4.15.17.1

$x^{8}$ ले जाएं.

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 49 x^{12} + 15 \cdot 9 (x^{8} x^{4}) + 15 x^{4} (- 16 x^{7}) + 15 x^{4} (7 x^{6}) + 4 x^{7} (9 x^{8}) + 4 x^{7} (- 16 x^{7}) + 4 x^{7} (7 x^{6}) + 12 x^{5} (9 x^{8}) + 12 x^{5} (- 16 x^{7}) + 12 x^{5} (7 x^{6}) + 12 x^{3} (9 x^{8}) + 12 x^{3} (- 16 x^{7}) + 12 x^{3} (7 x^{6}) + 4 x (9 x^{8}) + 4 x (- 16 x^{7}) + 4 x (7 x^{6}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.15.17.2

घातांकों को संयोजित करने के लिए घात नियम $a^{m} a^{n} = a^{m + n}$ का उपयोग करें.

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 49 x^{12} + 15 \cdot 9 x^{8 + 4} + 15 x^{4} (- 16 x^{7}) + 15 x^{4} (7 x^{6}) + 4 x^{7} (9 x^{8}) + 4 x^{7} (- 16 x^{7}) + 4 x^{7} (7 x^{6}) + 12 x^{5} (9 x^{8}) + 12 x^{5} (- 16 x^{7}) + 12 x^{5} (7 x^{6}) + 12 x^{3} (9 x^{8}) + 12 x^{3} (- 16 x^{7}) + 12 x^{3} (7 x^{6}) + 4 x (9 x^{8}) + 4 x (- 16 x^{7}) + 4 x (7 x^{6}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.15.17.3

$8$ और $4$ जोड़ें.

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 49 x^{12} + 15 \cdot 9 x^{12} + 15 x^{4} (- 16 x^{7}) + 15 x^{4} (7 x^{6}) + 4 x^{7} (9 x^{8}) + 4 x^{7} (- 16 x^{7}) + 4 x^{7} (7 x^{6}) + 12 x^{5} (9 x^{8}) + 12 x^{5} (- 16 x^{7}) + 12 x^{5} (7 x^{6}) + 12 x^{3} (9 x^{8}) + 12 x^{3} (- 16 x^{7}) + 12 x^{3} (7 x^{6}) + 4 x (9 x^{8}) + 4 x (- 16 x^{7}) + 4 x (7 x^{6}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.15.18

$15$ को $9$ से गुणा करें.

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 49 x^{12} + 135 x^{12} + 15 x^{4} (- 16 x^{7}) + 15 x^{4} (7 x^{6}) + 4 x^{7} (9 x^{8}) + 4 x^{7} (- 16 x^{7}) + 4 x^{7} (7 x^{6}) + 12 x^{5} (9 x^{8}) + 12 x^{5} (- 16 x^{7}) + 12 x^{5} (7 x^{6}) + 12 x^{3} (9 x^{8}) + 12 x^{3} (- 16 x^{7}) + 12 x^{3} (7 x^{6}) + 4 x (9 x^{8}) + 4 x (- 16 x^{7}) + 4 x (7 x^{6}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.15.19

गुणन के क्रमविनिमेय गुण का उपयोग करके फिर से लिखें.

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 49 x^{12} + 135 x^{12} + 15 \cdot - 16 x^{4} x^{7} + 15 x^{4} (7 x^{6}) + 4 x^{7} (9 x^{8}) + 4 x^{7} (- 16 x^{7}) + 4 x^{7} (7 x^{6}) + 12 x^{5} (9 x^{8}) + 12 x^{5} (- 16 x^{7}) + 12 x^{5} (7 x^{6}) + 12 x^{3} (9 x^{8}) + 12 x^{3} (- 16 x^{7}) + 12 x^{3} (7 x^{6}) + 4 x (9 x^{8}) + 4 x (- 16 x^{7}) + 4 x (7 x^{6}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.15.20

घातांक जोड़कर $x^{4}$ को $x^{7}$ से गुणा करें.

और स्टेप्स के लिए टैप करें…

चरण 10.4.15.20.1

$x^{7}$ ले जाएं.

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 49 x^{12} + 135 x^{12} + 15 \cdot - 16 (x^{7} x^{4}) + 15 x^{4} (7 x^{6}) + 4 x^{7} (9 x^{8}) + 4 x^{7} (- 16 x^{7}) + 4 x^{7} (7 x^{6}) + 12 x^{5} (9 x^{8}) + 12 x^{5} (- 16 x^{7}) + 12 x^{5} (7 x^{6}) + 12 x^{3} (9 x^{8}) + 12 x^{3} (- 16 x^{7}) + 12 x^{3} (7 x^{6}) + 4 x (9 x^{8}) + 4 x (- 16 x^{7}) + 4 x (7 x^{6}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.15.20.2

घातांकों को संयोजित करने के लिए घात नियम $a^{m} a^{n} = a^{m + n}$ का उपयोग करें.

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 49 x^{12} + 135 x^{12} + 15 \cdot - 16 x^{7 + 4} + 15 x^{4} (7 x^{6}) + 4 x^{7} (9 x^{8}) + 4 x^{7} (- 16 x^{7}) + 4 x^{7} (7 x^{6}) + 12 x^{5} (9 x^{8}) + 12 x^{5} (- 16 x^{7}) + 12 x^{5} (7 x^{6}) + 12 x^{3} (9 x^{8}) + 12 x^{3} (- 16 x^{7}) + 12 x^{3} (7 x^{6}) + 4 x (9 x^{8}) + 4 x (- 16 x^{7}) + 4 x (7 x^{6}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.15.20.3

$7$ और $4$ जोड़ें.

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 49 x^{12} + 135 x^{12} + 15 \cdot - 16 x^{11} + 15 x^{4} (7 x^{6}) + 4 x^{7} (9 x^{8}) + 4 x^{7} (- 16 x^{7}) + 4 x^{7} (7 x^{6}) + 12 x^{5} (9 x^{8}) + 12 x^{5} (- 16 x^{7}) + 12 x^{5} (7 x^{6}) + 12 x^{3} (9 x^{8}) + 12 x^{3} (- 16 x^{7}) + 12 x^{3} (7 x^{6}) + 4 x (9 x^{8}) + 4 x (- 16 x^{7}) + 4 x (7 x^{6}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.15.21

$15$ को $- 16$ से गुणा करें.

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 49 x^{12} + 135 x^{12} - 240 x^{11} + 15 x^{4} (7 x^{6}) + 4 x^{7} (9 x^{8}) + 4 x^{7} (- 16 x^{7}) + 4 x^{7} (7 x^{6}) + 12 x^{5} (9 x^{8}) + 12 x^{5} (- 16 x^{7}) + 12 x^{5} (7 x^{6}) + 12 x^{3} (9 x^{8}) + 12 x^{3} (- 16 x^{7}) + 12 x^{3} (7 x^{6}) + 4 x (9 x^{8}) + 4 x (- 16 x^{7}) + 4 x (7 x^{6}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.15.22

गुणन के क्रमविनिमेय गुण का उपयोग करके फिर से लिखें.

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 49 x^{12} + 135 x^{12} - 240 x^{11} + 15 \cdot 7 x^{4} x^{6} + 4 x^{7} (9 x^{8}) + 4 x^{7} (- 16 x^{7}) + 4 x^{7} (7 x^{6}) + 12 x^{5} (9 x^{8}) + 12 x^{5} (- 16 x^{7}) + 12 x^{5} (7 x^{6}) + 12 x^{3} (9 x^{8}) + 12 x^{3} (- 16 x^{7}) + 12 x^{3} (7 x^{6}) + 4 x (9 x^{8}) + 4 x (- 16 x^{7}) + 4 x (7 x^{6}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.15.23

घातांक जोड़कर $x^{4}$ को $x^{6}$ से गुणा करें.

और स्टेप्स के लिए टैप करें…

चरण 10.4.15.23.1

$x^{6}$ ले जाएं.

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 49 x^{12} + 135 x^{12} - 240 x^{11} + 15 \cdot 7 (x^{6} x^{4}) + 4 x^{7} (9 x^{8}) + 4 x^{7} (- 16 x^{7}) + 4 x^{7} (7 x^{6}) + 12 x^{5} (9 x^{8}) + 12 x^{5} (- 16 x^{7}) + 12 x^{5} (7 x^{6}) + 12 x^{3} (9 x^{8}) + 12 x^{3} (- 16 x^{7}) + 12 x^{3} (7 x^{6}) + 4 x (9 x^{8}) + 4 x (- 16 x^{7}) + 4 x (7 x^{6}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.15.23.2

घातांकों को संयोजित करने के लिए घात नियम $a^{m} a^{n} = a^{m + n}$ का उपयोग करें.

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 49 x^{12} + 135 x^{12} - 240 x^{11} + 15 \cdot 7 x^{6 + 4} + 4 x^{7} (9 x^{8}) + 4 x^{7} (- 16 x^{7}) + 4 x^{7} (7 x^{6}) + 12 x^{5} (9 x^{8}) + 12 x^{5} (- 16 x^{7}) + 12 x^{5} (7 x^{6}) + 12 x^{3} (9 x^{8}) + 12 x^{3} (- 16 x^{7}) + 12 x^{3} (7 x^{6}) + 4 x (9 x^{8}) + 4 x (- 16 x^{7}) + 4 x (7 x^{6}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.15.23.3

$6$ और $4$ जोड़ें.

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 49 x^{12} + 135 x^{12} - 240 x^{11} + 15 \cdot 7 x^{10} + 4 x^{7} (9 x^{8}) + 4 x^{7} (- 16 x^{7}) + 4 x^{7} (7 x^{6}) + 12 x^{5} (9 x^{8}) + 12 x^{5} (- 16 x^{7}) + 12 x^{5} (7 x^{6}) + 12 x^{3} (9 x^{8}) + 12 x^{3} (- 16 x^{7}) + 12 x^{3} (7 x^{6}) + 4 x (9 x^{8}) + 4 x (- 16 x^{7}) + 4 x (7 x^{6}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.15.24

$15$ को $7$ से गुणा करें.

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 49 x^{12} + 135 x^{12} - 240 x^{11} + 105 x^{10} + 4 x^{7} (9 x^{8}) + 4 x^{7} (- 16 x^{7}) + 4 x^{7} (7 x^{6}) + 12 x^{5} (9 x^{8}) + 12 x^{5} (- 16 x^{7}) + 12 x^{5} (7 x^{6}) + 12 x^{3} (9 x^{8}) + 12 x^{3} (- 16 x^{7}) + 12 x^{3} (7 x^{6}) + 4 x (9 x^{8}) + 4 x (- 16 x^{7}) + 4 x (7 x^{6}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.15.25

गुणन के क्रमविनिमेय गुण का उपयोग करके फिर से लिखें.

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 49 x^{12} + 135 x^{12} - 240 x^{11} + 105 x^{10} + 4 \cdot 9 x^{7} x^{8} + 4 x^{7} (- 16 x^{7}) + 4 x^{7} (7 x^{6}) + 12 x^{5} (9 x^{8}) + 12 x^{5} (- 16 x^{7}) + 12 x^{5} (7 x^{6}) + 12 x^{3} (9 x^{8}) + 12 x^{3} (- 16 x^{7}) + 12 x^{3} (7 x^{6}) + 4 x (9 x^{8}) + 4 x (- 16 x^{7}) + 4 x (7 x^{6}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.15.26

घातांक जोड़कर $x^{7}$ को $x^{8}$ से गुणा करें.

और स्टेप्स के लिए टैप करें…

चरण 10.4.15.26.1

$x^{8}$ ले जाएं.

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 49 x^{12} + 135 x^{12} - 240 x^{11} + 105 x^{10} + 4 \cdot 9 (x^{8} x^{7}) + 4 x^{7} (- 16 x^{7}) + 4 x^{7} (7 x^{6}) + 12 x^{5} (9 x^{8}) + 12 x^{5} (- 16 x^{7}) + 12 x^{5} (7 x^{6}) + 12 x^{3} (9 x^{8}) + 12 x^{3} (- 16 x^{7}) + 12 x^{3} (7 x^{6}) + 4 x (9 x^{8}) + 4 x (- 16 x^{7}) + 4 x (7 x^{6}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.15.26.2

घातांकों को संयोजित करने के लिए घात नियम $a^{m} a^{n} = a^{m + n}$ का उपयोग करें.

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 49 x^{12} + 135 x^{12} - 240 x^{11} + 105 x^{10} + 4 \cdot 9 x^{8 + 7} + 4 x^{7} (- 16 x^{7}) + 4 x^{7} (7 x^{6}) + 12 x^{5} (9 x^{8}) + 12 x^{5} (- 16 x^{7}) + 12 x^{5} (7 x^{6}) + 12 x^{3} (9 x^{8}) + 12 x^{3} (- 16 x^{7}) + 12 x^{3} (7 x^{6}) + 4 x (9 x^{8}) + 4 x (- 16 x^{7}) + 4 x (7 x^{6}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.15.26.3

$8$ और $7$ जोड़ें.

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 49 x^{12} + 135 x^{12} - 240 x^{11} + 105 x^{10} + 4 \cdot 9 x^{15} + 4 x^{7} (- 16 x^{7}) + 4 x^{7} (7 x^{6}) + 12 x^{5} (9 x^{8}) + 12 x^{5} (- 16 x^{7}) + 12 x^{5} (7 x^{6}) + 12 x^{3} (9 x^{8}) + 12 x^{3} (- 16 x^{7}) + 12 x^{3} (7 x^{6}) + 4 x (9 x^{8}) + 4 x (- 16 x^{7}) + 4 x (7 x^{6}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.15.27

$4$ को $9$ से गुणा करें.

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 49 x^{12} + 135 x^{12} - 240 x^{11} + 105 x^{10} + 36 x^{15} + 4 x^{7} (- 16 x^{7}) + 4 x^{7} (7 x^{6}) + 12 x^{5} (9 x^{8}) + 12 x^{5} (- 16 x^{7}) + 12 x^{5} (7 x^{6}) + 12 x^{3} (9 x^{8}) + 12 x^{3} (- 16 x^{7}) + 12 x^{3} (7 x^{6}) + 4 x (9 x^{8}) + 4 x (- 16 x^{7}) + 4 x (7 x^{6}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.15.28

गुणन के क्रमविनिमेय गुण का उपयोग करके फिर से लिखें.

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 49 x^{12} + 135 x^{12} - 240 x^{11} + 105 x^{10} + 36 x^{15} + 4 \cdot - 16 x^{7} x^{7} + 4 x^{7} (7 x^{6}) + 12 x^{5} (9 x^{8}) + 12 x^{5} (- 16 x^{7}) + 12 x^{5} (7 x^{6}) + 12 x^{3} (9 x^{8}) + 12 x^{3} (- 16 x^{7}) + 12 x^{3} (7 x^{6}) + 4 x (9 x^{8}) + 4 x (- 16 x^{7}) + 4 x (7 x^{6}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.15.29

घातांक जोड़कर $x^{7}$ को $x^{7}$ से गुणा करें.

और स्टेप्स के लिए टैप करें…

चरण 10.4.15.29.1

$x^{7}$ ले जाएं.

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 49 x^{12} + 135 x^{12} - 240 x^{11} + 105 x^{10} + 36 x^{15} + 4 \cdot - 16 (x^{7} x^{7}) + 4 x^{7} (7 x^{6}) + 12 x^{5} (9 x^{8}) + 12 x^{5} (- 16 x^{7}) + 12 x^{5} (7 x^{6}) + 12 x^{3} (9 x^{8}) + 12 x^{3} (- 16 x^{7}) + 12 x^{3} (7 x^{6}) + 4 x (9 x^{8}) + 4 x (- 16 x^{7}) + 4 x (7 x^{6}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.15.29.2

घातांकों को संयोजित करने के लिए घात नियम $a^{m} a^{n} = a^{m + n}$ का उपयोग करें.

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 49 x^{12} + 135 x^{12} - 240 x^{11} + 105 x^{10} + 36 x^{15} + 4 \cdot - 16 x^{7 + 7} + 4 x^{7} (7 x^{6}) + 12 x^{5} (9 x^{8}) + 12 x^{5} (- 16 x^{7}) + 12 x^{5} (7 x^{6}) + 12 x^{3} (9 x^{8}) + 12 x^{3} (- 16 x^{7}) + 12 x^{3} (7 x^{6}) + 4 x (9 x^{8}) + 4 x (- 16 x^{7}) + 4 x (7 x^{6}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.15.29.3

$7$ और $7$ जोड़ें.

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 49 x^{12} + 135 x^{12} - 240 x^{11} + 105 x^{10} + 36 x^{15} + 4 \cdot - 16 x^{14} + 4 x^{7} (7 x^{6}) + 12 x^{5} (9 x^{8}) + 12 x^{5} (- 16 x^{7}) + 12 x^{5} (7 x^{6}) + 12 x^{3} (9 x^{8}) + 12 x^{3} (- 16 x^{7}) + 12 x^{3} (7 x^{6}) + 4 x (9 x^{8}) + 4 x (- 16 x^{7}) + 4 x (7 x^{6}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.15.30

$4$ को $- 16$ से गुणा करें.

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 49 x^{12} + 135 x^{12} - 240 x^{11} + 105 x^{10} + 36 x^{15} - 64 x^{14} + 4 x^{7} (7 x^{6}) + 12 x^{5} (9 x^{8}) + 12 x^{5} (- 16 x^{7}) + 12 x^{5} (7 x^{6}) + 12 x^{3} (9 x^{8}) + 12 x^{3} (- 16 x^{7}) + 12 x^{3} (7 x^{6}) + 4 x (9 x^{8}) + 4 x (- 16 x^{7}) + 4 x (7 x^{6}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.15.31

गुणन के क्रमविनिमेय गुण का उपयोग करके फिर से लिखें.

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 49 x^{12} + 135 x^{12} - 240 x^{11} + 105 x^{10} + 36 x^{15} - 64 x^{14} + 4 \cdot 7 x^{7} x^{6} + 12 x^{5} (9 x^{8}) + 12 x^{5} (- 16 x^{7}) + 12 x^{5} (7 x^{6}) + 12 x^{3} (9 x^{8}) + 12 x^{3} (- 16 x^{7}) + 12 x^{3} (7 x^{6}) + 4 x (9 x^{8}) + 4 x (- 16 x^{7}) + 4 x (7 x^{6}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.15.32

घातांक जोड़कर $x^{7}$ को $x^{6}$ से गुणा करें.

और स्टेप्स के लिए टैप करें…

चरण 10.4.15.32.1

$x^{6}$ ले जाएं.

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 49 x^{12} + 135 x^{12} - 240 x^{11} + 105 x^{10} + 36 x^{15} - 64 x^{14} + 4 \cdot 7 (x^{6} x^{7}) + 12 x^{5} (9 x^{8}) + 12 x^{5} (- 16 x^{7}) + 12 x^{5} (7 x^{6}) + 12 x^{3} (9 x^{8}) + 12 x^{3} (- 16 x^{7}) + 12 x^{3} (7 x^{6}) + 4 x (9 x^{8}) + 4 x (- 16 x^{7}) + 4 x (7 x^{6}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.15.32.2

घातांकों को संयोजित करने के लिए घात नियम $a^{m} a^{n} = a^{m + n}$ का उपयोग करें.

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 49 x^{12} + 135 x^{12} - 240 x^{11} + 105 x^{10} + 36 x^{15} - 64 x^{14} + 4 \cdot 7 x^{6 + 7} + 12 x^{5} (9 x^{8}) + 12 x^{5} (- 16 x^{7}) + 12 x^{5} (7 x^{6}) + 12 x^{3} (9 x^{8}) + 12 x^{3} (- 16 x^{7}) + 12 x^{3} (7 x^{6}) + 4 x (9 x^{8}) + 4 x (- 16 x^{7}) + 4 x (7 x^{6}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.15.32.3

$6$ और $7$ जोड़ें.

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 49 x^{12} + 135 x^{12} - 240 x^{11} + 105 x^{10} + 36 x^{15} - 64 x^{14} + 4 \cdot 7 x^{13} + 12 x^{5} (9 x^{8}) + 12 x^{5} (- 16 x^{7}) + 12 x^{5} (7 x^{6}) + 12 x^{3} (9 x^{8}) + 12 x^{3} (- 16 x^{7}) + 12 x^{3} (7 x^{6}) + 4 x (9 x^{8}) + 4 x (- 16 x^{7}) + 4 x (7 x^{6}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.15.33

$4$ को $7$ से गुणा करें.

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 49 x^{12} + 135 x^{12} - 240 x^{11} + 105 x^{10} + 36 x^{15} - 64 x^{14} + 28 x^{13} + 12 x^{5} (9 x^{8}) + 12 x^{5} (- 16 x^{7}) + 12 x^{5} (7 x^{6}) + 12 x^{3} (9 x^{8}) + 12 x^{3} (- 16 x^{7}) + 12 x^{3} (7 x^{6}) + 4 x (9 x^{8}) + 4 x (- 16 x^{7}) + 4 x (7 x^{6}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.15.34

गुणन के क्रमविनिमेय गुण का उपयोग करके फिर से लिखें.

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 49 x^{12} + 135 x^{12} - 240 x^{11} + 105 x^{10} + 36 x^{15} - 64 x^{14} + 28 x^{13} + 12 \cdot 9 x^{5} x^{8} + 12 x^{5} (- 16 x^{7}) + 12 x^{5} (7 x^{6}) + 12 x^{3} (9 x^{8}) + 12 x^{3} (- 16 x^{7}) + 12 x^{3} (7 x^{6}) + 4 x (9 x^{8}) + 4 x (- 16 x^{7}) + 4 x (7 x^{6}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.15.35

घातांक जोड़कर $x^{5}$ को $x^{8}$ से गुणा करें.

और स्टेप्स के लिए टैप करें…

चरण 10.4.15.35.1

$x^{8}$ ले जाएं.

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 49 x^{12} + 135 x^{12} - 240 x^{11} + 105 x^{10} + 36 x^{15} - 64 x^{14} + 28 x^{13} + 12 \cdot 9 (x^{8} x^{5}) + 12 x^{5} (- 16 x^{7}) + 12 x^{5} (7 x^{6}) + 12 x^{3} (9 x^{8}) + 12 x^{3} (- 16 x^{7}) + 12 x^{3} (7 x^{6}) + 4 x (9 x^{8}) + 4 x (- 16 x^{7}) + 4 x (7 x^{6}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.15.35.2

घातांकों को संयोजित करने के लिए घात नियम $a^{m} a^{n} = a^{m + n}$ का उपयोग करें.

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 49 x^{12} + 135 x^{12} - 240 x^{11} + 105 x^{10} + 36 x^{15} - 64 x^{14} + 28 x^{13} + 12 \cdot 9 x^{8 + 5} + 12 x^{5} (- 16 x^{7}) + 12 x^{5} (7 x^{6}) + 12 x^{3} (9 x^{8}) + 12 x^{3} (- 16 x^{7}) + 12 x^{3} (7 x^{6}) + 4 x (9 x^{8}) + 4 x (- 16 x^{7}) + 4 x (7 x^{6}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.15.35.3

$8$ और $5$ जोड़ें.

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 49 x^{12} + 135 x^{12} - 240 x^{11} + 105 x^{10} + 36 x^{15} - 64 x^{14} + 28 x^{13} + 12 \cdot 9 x^{13} + 12 x^{5} (- 16 x^{7}) + 12 x^{5} (7 x^{6}) + 12 x^{3} (9 x^{8}) + 12 x^{3} (- 16 x^{7}) + 12 x^{3} (7 x^{6}) + 4 x (9 x^{8}) + 4 x (- 16 x^{7}) + 4 x (7 x^{6}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.15.36

$12$ को $9$ से गुणा करें.

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 49 x^{12} + 135 x^{12} - 240 x^{11} + 105 x^{10} + 36 x^{15} - 64 x^{14} + 28 x^{13} + 108 x^{13} + 12 x^{5} (- 16 x^{7}) + 12 x^{5} (7 x^{6}) + 12 x^{3} (9 x^{8}) + 12 x^{3} (- 16 x^{7}) + 12 x^{3} (7 x^{6}) + 4 x (9 x^{8}) + 4 x (- 16 x^{7}) + 4 x (7 x^{6}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.15.37

गुणन के क्रमविनिमेय गुण का उपयोग करके फिर से लिखें.

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 49 x^{12} + 135 x^{12} - 240 x^{11} + 105 x^{10} + 36 x^{15} - 64 x^{14} + 28 x^{13} + 108 x^{13} + 12 \cdot - 16 x^{5} x^{7} + 12 x^{5} (7 x^{6}) + 12 x^{3} (9 x^{8}) + 12 x^{3} (- 16 x^{7}) + 12 x^{3} (7 x^{6}) + 4 x (9 x^{8}) + 4 x (- 16 x^{7}) + 4 x (7 x^{6}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.15.38

घातांक जोड़कर $x^{5}$ को $x^{7}$ से गुणा करें.

और स्टेप्स के लिए टैप करें…

चरण 10.4.15.38.1

$x^{7}$ ले जाएं.

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 49 x^{12} + 135 x^{12} - 240 x^{11} + 105 x^{10} + 36 x^{15} - 64 x^{14} + 28 x^{13} + 108 x^{13} + 12 \cdot - 16 (x^{7} x^{5}) + 12 x^{5} (7 x^{6}) + 12 x^{3} (9 x^{8}) + 12 x^{3} (- 16 x^{7}) + 12 x^{3} (7 x^{6}) + 4 x (9 x^{8}) + 4 x (- 16 x^{7}) + 4 x (7 x^{6}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.15.38.2

घातांकों को संयोजित करने के लिए घात नियम $a^{m} a^{n} = a^{m + n}$ का उपयोग करें.

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 49 x^{12} + 135 x^{12} - 240 x^{11} + 105 x^{10} + 36 x^{15} - 64 x^{14} + 28 x^{13} + 108 x^{13} + 12 \cdot - 16 x^{7 + 5} + 12 x^{5} (7 x^{6}) + 12 x^{3} (9 x^{8}) + 12 x^{3} (- 16 x^{7}) + 12 x^{3} (7 x^{6}) + 4 x (9 x^{8}) + 4 x (- 16 x^{7}) + 4 x (7 x^{6}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.15.38.3

$7$ और $5$ जोड़ें.

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 49 x^{12} + 135 x^{12} - 240 x^{11} + 105 x^{10} + 36 x^{15} - 64 x^{14} + 28 x^{13} + 108 x^{13} + 12 \cdot - 16 x^{12} + 12 x^{5} (7 x^{6}) + 12 x^{3} (9 x^{8}) + 12 x^{3} (- 16 x^{7}) + 12 x^{3} (7 x^{6}) + 4 x (9 x^{8}) + 4 x (- 16 x^{7}) + 4 x (7 x^{6}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.15.39

$12$ को $- 16$ से गुणा करें.

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 49 x^{12} + 135 x^{12} - 240 x^{11} + 105 x^{10} + 36 x^{15} - 64 x^{14} + 28 x^{13} + 108 x^{13} - 192 x^{12} + 12 x^{5} (7 x^{6}) + 12 x^{3} (9 x^{8}) + 12 x^{3} (- 16 x^{7}) + 12 x^{3} (7 x^{6}) + 4 x (9 x^{8}) + 4 x (- 16 x^{7}) + 4 x (7 x^{6}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.15.40

गुणन के क्रमविनिमेय गुण का उपयोग करके फिर से लिखें.

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 49 x^{12} + 135 x^{12} - 240 x^{11} + 105 x^{10} + 36 x^{15} - 64 x^{14} + 28 x^{13} + 108 x^{13} - 192 x^{12} + 12 \cdot 7 x^{5} x^{6} + 12 x^{3} (9 x^{8}) + 12 x^{3} (- 16 x^{7}) + 12 x^{3} (7 x^{6}) + 4 x (9 x^{8}) + 4 x (- 16 x^{7}) + 4 x (7 x^{6}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.15.41

घातांक जोड़कर $x^{5}$ को $x^{6}$ से गुणा करें.

और स्टेप्स के लिए टैप करें…

चरण 10.4.15.41.1

$x^{6}$ ले जाएं.

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 49 x^{12} + 135 x^{12} - 240 x^{11} + 105 x^{10} + 36 x^{15} - 64 x^{14} + 28 x^{13} + 108 x^{13} - 192 x^{12} + 12 \cdot 7 (x^{6} x^{5}) + 12 x^{3} (9 x^{8}) + 12 x^{3} (- 16 x^{7}) + 12 x^{3} (7 x^{6}) + 4 x (9 x^{8}) + 4 x (- 16 x^{7}) + 4 x (7 x^{6}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.15.41.2

घातांकों को संयोजित करने के लिए घात नियम $a^{m} a^{n} = a^{m + n}$ का उपयोग करें.

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 49 x^{12} + 135 x^{12} - 240 x^{11} + 105 x^{10} + 36 x^{15} - 64 x^{14} + 28 x^{13} + 108 x^{13} - 192 x^{12} + 12 \cdot 7 x^{6 + 5} + 12 x^{3} (9 x^{8}) + 12 x^{3} (- 16 x^{7}) + 12 x^{3} (7 x^{6}) + 4 x (9 x^{8}) + 4 x (- 16 x^{7}) + 4 x (7 x^{6}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.15.41.3

$6$ और $5$ जोड़ें.

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 49 x^{12} + 135 x^{12} - 240 x^{11} + 105 x^{10} + 36 x^{15} - 64 x^{14} + 28 x^{13} + 108 x^{13} - 192 x^{12} + 12 \cdot 7 x^{11} + 12 x^{3} (9 x^{8}) + 12 x^{3} (- 16 x^{7}) + 12 x^{3} (7 x^{6}) + 4 x (9 x^{8}) + 4 x (- 16 x^{7}) + 4 x (7 x^{6}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.15.42

$12$ को $7$ से गुणा करें.

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 49 x^{12} + 135 x^{12} - 240 x^{11} + 105 x^{10} + 36 x^{15} - 64 x^{14} + 28 x^{13} + 108 x^{13} - 192 x^{12} + 84 x^{11} + 12 x^{3} (9 x^{8}) + 12 x^{3} (- 16 x^{7}) + 12 x^{3} (7 x^{6}) + 4 x (9 x^{8}) + 4 x (- 16 x^{7}) + 4 x (7 x^{6}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.15.43

गुणन के क्रमविनिमेय गुण का उपयोग करके फिर से लिखें.

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 49 x^{12} + 135 x^{12} - 240 x^{11} + 105 x^{10} + 36 x^{15} - 64 x^{14} + 28 x^{13} + 108 x^{13} - 192 x^{12} + 84 x^{11} + 12 \cdot 9 x^{3} x^{8} + 12 x^{3} (- 16 x^{7}) + 12 x^{3} (7 x^{6}) + 4 x (9 x^{8}) + 4 x (- 16 x^{7}) + 4 x (7 x^{6}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.15.44

घातांक जोड़कर $x^{3}$ को $x^{8}$ से गुणा करें.

और स्टेप्स के लिए टैप करें…

चरण 10.4.15.44.1

$x^{8}$ ले जाएं.

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 49 x^{12} + 135 x^{12} - 240 x^{11} + 105 x^{10} + 36 x^{15} - 64 x^{14} + 28 x^{13} + 108 x^{13} - 192 x^{12} + 84 x^{11} + 12 \cdot 9 (x^{8} x^{3}) + 12 x^{3} (- 16 x^{7}) + 12 x^{3} (7 x^{6}) + 4 x (9 x^{8}) + 4 x (- 16 x^{7}) + 4 x (7 x^{6}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.15.44.2

घातांकों को संयोजित करने के लिए घात नियम $a^{m} a^{n} = a^{m + n}$ का उपयोग करें.

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 49 x^{12} + 135 x^{12} - 240 x^{11} + 105 x^{10} + 36 x^{15} - 64 x^{14} + 28 x^{13} + 108 x^{13} - 192 x^{12} + 84 x^{11} + 12 \cdot 9 x^{8 + 3} + 12 x^{3} (- 16 x^{7}) + 12 x^{3} (7 x^{6}) + 4 x (9 x^{8}) + 4 x (- 16 x^{7}) + 4 x (7 x^{6}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.15.44.3

$8$ और $3$ जोड़ें.

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 49 x^{12} + 135 x^{12} - 240 x^{11} + 105 x^{10} + 36 x^{15} - 64 x^{14} + 28 x^{13} + 108 x^{13} - 192 x^{12} + 84 x^{11} + 12 \cdot 9 x^{11} + 12 x^{3} (- 16 x^{7}) + 12 x^{3} (7 x^{6}) + 4 x (9 x^{8}) + 4 x (- 16 x^{7}) + 4 x (7 x^{6}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.15.45

$12$ को $9$ से गुणा करें.

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 49 x^{12} + 135 x^{12} - 240 x^{11} + 105 x^{10} + 36 x^{15} - 64 x^{14} + 28 x^{13} + 108 x^{13} - 192 x^{12} + 84 x^{11} + 108 x^{11} + 12 x^{3} (- 16 x^{7}) + 12 x^{3} (7 x^{6}) + 4 x (9 x^{8}) + 4 x (- 16 x^{7}) + 4 x (7 x^{6}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.15.46

गुणन के क्रमविनिमेय गुण का उपयोग करके फिर से लिखें.

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 49 x^{12} + 135 x^{12} - 240 x^{11} + 105 x^{10} + 36 x^{15} - 64 x^{14} + 28 x^{13} + 108 x^{13} - 192 x^{12} + 84 x^{11} + 108 x^{11} + 12 \cdot - 16 x^{3} x^{7} + 12 x^{3} (7 x^{6}) + 4 x (9 x^{8}) + 4 x (- 16 x^{7}) + 4 x (7 x^{6}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.15.47

घातांक जोड़कर $x^{3}$ को $x^{7}$ से गुणा करें.

और स्टेप्स के लिए टैप करें…

चरण 10.4.15.47.1

$x^{7}$ ले जाएं.

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 49 x^{12} + 135 x^{12} - 240 x^{11} + 105 x^{10} + 36 x^{15} - 64 x^{14} + 28 x^{13} + 108 x^{13} - 192 x^{12} + 84 x^{11} + 108 x^{11} + 12 \cdot - 16 (x^{7} x^{3}) + 12 x^{3} (7 x^{6}) + 4 x (9 x^{8}) + 4 x (- 16 x^{7}) + 4 x (7 x^{6}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.15.47.2

घातांकों को संयोजित करने के लिए घात नियम $a^{m} a^{n} = a^{m + n}$ का उपयोग करें.

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 49 x^{12} + 135 x^{12} - 240 x^{11} + 105 x^{10} + 36 x^{15} - 64 x^{14} + 28 x^{13} + 108 x^{13} - 192 x^{12} + 84 x^{11} + 108 x^{11} + 12 \cdot - 16 x^{7 + 3} + 12 x^{3} (7 x^{6}) + 4 x (9 x^{8}) + 4 x (- 16 x^{7}) + 4 x (7 x^{6}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.15.47.3

$7$ और $3$ जोड़ें.

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 49 x^{12} + 135 x^{12} - 240 x^{11} + 105 x^{10} + 36 x^{15} - 64 x^{14} + 28 x^{13} + 108 x^{13} - 192 x^{12} + 84 x^{11} + 108 x^{11} + 12 \cdot - 16 x^{10} + 12 x^{3} (7 x^{6}) + 4 x (9 x^{8}) + 4 x (- 16 x^{7}) + 4 x (7 x^{6}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.15.48

$12$ को $- 16$ से गुणा करें.

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 49 x^{12} + 135 x^{12} - 240 x^{11} + 105 x^{10} + 36 x^{15} - 64 x^{14} + 28 x^{13} + 108 x^{13} - 192 x^{12} + 84 x^{11} + 108 x^{11} - 192 x^{10} + 12 x^{3} (7 x^{6}) + 4 x (9 x^{8}) + 4 x (- 16 x^{7}) + 4 x (7 x^{6}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.15.49

गुणन के क्रमविनिमेय गुण का उपयोग करके फिर से लिखें.

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 49 x^{12} + 135 x^{12} - 240 x^{11} + 105 x^{10} + 36 x^{15} - 64 x^{14} + 28 x^{13} + 108 x^{13} - 192 x^{12} + 84 x^{11} + 108 x^{11} - 192 x^{10} + 12 \cdot 7 x^{3} x^{6} + 4 x (9 x^{8}) + 4 x (- 16 x^{7}) + 4 x (7 x^{6}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.15.50

घातांक जोड़कर $x^{3}$ को $x^{6}$ से गुणा करें.

और स्टेप्स के लिए टैप करें…

चरण 10.4.15.50.1

$x^{6}$ ले जाएं.

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 49 x^{12} + 135 x^{12} - 240 x^{11} + 105 x^{10} + 36 x^{15} - 64 x^{14} + 28 x^{13} + 108 x^{13} - 192 x^{12} + 84 x^{11} + 108 x^{11} - 192 x^{10} + 12 \cdot 7 (x^{6} x^{3}) + 4 x (9 x^{8}) + 4 x (- 16 x^{7}) + 4 x (7 x^{6}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.15.50.2

घातांकों को संयोजित करने के लिए घात नियम $a^{m} a^{n} = a^{m + n}$ का उपयोग करें.

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 49 x^{12} + 135 x^{12} - 240 x^{11} + 105 x^{10} + 36 x^{15} - 64 x^{14} + 28 x^{13} + 108 x^{13} - 192 x^{12} + 84 x^{11} + 108 x^{11} - 192 x^{10} + 12 \cdot 7 x^{6 + 3} + 4 x (9 x^{8}) + 4 x (- 16 x^{7}) + 4 x (7 x^{6}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.15.50.3

$6$ और $3$ जोड़ें.

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 49 x^{12} + 135 x^{12} - 240 x^{11} + 105 x^{10} + 36 x^{15} - 64 x^{14} + 28 x^{13} + 108 x^{13} - 192 x^{12} + 84 x^{11} + 108 x^{11} - 192 x^{10} + 12 \cdot 7 x^{9} + 4 x (9 x^{8}) + 4 x (- 16 x^{7}) + 4 x (7 x^{6}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.15.51

$12$ को $7$ से गुणा करें.

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 49 x^{12} + 135 x^{12} - 240 x^{11} + 105 x^{10} + 36 x^{15} - 64 x^{14} + 28 x^{13} + 108 x^{13} - 192 x^{12} + 84 x^{11} + 108 x^{11} - 192 x^{10} + 84 x^{9} + 4 x (9 x^{8}) + 4 x (- 16 x^{7}) + 4 x (7 x^{6}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.15.52

गुणन के क्रमविनिमेय गुण का उपयोग करके फिर से लिखें.

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 49 x^{12} + 135 x^{12} - 240 x^{11} + 105 x^{10} + 36 x^{15} - 64 x^{14} + 28 x^{13} + 108 x^{13} - 192 x^{12} + 84 x^{11} + 108 x^{11} - 192 x^{10} + 84 x^{9} + 4 \cdot 9 x \cdot x^{8} + 4 x (- 16 x^{7}) + 4 x (7 x^{6}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.15.53

घातांक जोड़कर $x$ को $x^{8}$ से गुणा करें.

और स्टेप्स के लिए टैप करें…

चरण 10.4.15.53.1

$x^{8}$ ले जाएं.

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 49 x^{12} + 135 x^{12} - 240 x^{11} + 105 x^{10} + 36 x^{15} - 64 x^{14} + 28 x^{13} + 108 x^{13} - 192 x^{12} + 84 x^{11} + 108 x^{11} - 192 x^{10} + 84 x^{9} + 4 \cdot 9 (x^{8} x) + 4 x (- 16 x^{7}) + 4 x (7 x^{6}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.15.53.2

$x^{8}$ को $x$ से गुणा करें.

और स्टेप्स के लिए टैप करें…

चरण 10.4.15.53.2.1

$x$ को $1$ के घात तक बढ़ाएं.

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 49 x^{12} + 135 x^{12} - 240 x^{11} + 105 x^{10} + 36 x^{15} - 64 x^{14} + 28 x^{13} + 108 x^{13} - 192 x^{12} + 84 x^{11} + 108 x^{11} - 192 x^{10} + 84 x^{9} + 4 \cdot 9 (x^{8} x^{1}) + 4 x (- 16 x^{7}) + 4 x (7 x^{6}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.15.53.2.2

घातांकों को संयोजित करने के लिए घात नियम $a^{m} a^{n} = a^{m + n}$ का उपयोग करें.

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 49 x^{12} + 135 x^{12} - 240 x^{11} + 105 x^{10} + 36 x^{15} - 64 x^{14} + 28 x^{13} + 108 x^{13} - 192 x^{12} + 84 x^{11} + 108 x^{11} - 192 x^{10} + 84 x^{9} + 4 \cdot 9 x^{8 + 1} + 4 x (- 16 x^{7}) + 4 x (7 x^{6}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.15.53.3

$8$ और $1$ जोड़ें.

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 49 x^{12} + 135 x^{12} - 240 x^{11} + 105 x^{10} + 36 x^{15} - 64 x^{14} + 28 x^{13} + 108 x^{13} - 192 x^{12} + 84 x^{11} + 108 x^{11} - 192 x^{10} + 84 x^{9} + 4 \cdot 9 x^{9} + 4 x (- 16 x^{7}) + 4 x (7 x^{6}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.15.54

$4$ को $9$ से गुणा करें.

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 49 x^{12} + 135 x^{12} - 240 x^{11} + 105 x^{10} + 36 x^{15} - 64 x^{14} + 28 x^{13} + 108 x^{13} - 192 x^{12} + 84 x^{11} + 108 x^{11} - 192 x^{10} + 84 x^{9} + 36 x^{9} + 4 x (- 16 x^{7}) + 4 x (7 x^{6}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.15.55

गुणन के क्रमविनिमेय गुण का उपयोग करके फिर से लिखें.

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 49 x^{12} + 135 x^{12} - 240 x^{11} + 105 x^{10} + 36 x^{15} - 64 x^{14} + 28 x^{13} + 108 x^{13} - 192 x^{12} + 84 x^{11} + 108 x^{11} - 192 x^{10} + 84 x^{9} + 36 x^{9} + 4 \cdot - 16 x \cdot x^{7} + 4 x (7 x^{6}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.15.56

घातांक जोड़कर $x$ को $x^{7}$ से गुणा करें.

और स्टेप्स के लिए टैप करें…

चरण 10.4.15.56.1

$x^{7}$ ले जाएं.

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 49 x^{12} + 135 x^{12} - 240 x^{11} + 105 x^{10} + 36 x^{15} - 64 x^{14} + 28 x^{13} + 108 x^{13} - 192 x^{12} + 84 x^{11} + 108 x^{11} - 192 x^{10} + 84 x^{9} + 36 x^{9} + 4 \cdot - 16 (x^{7} x) + 4 x (7 x^{6}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.15.56.2

$x^{7}$ को $x$ से गुणा करें.

और स्टेप्स के लिए टैप करें…

चरण 10.4.15.56.2.1

$x$ को $1$ के घात तक बढ़ाएं.

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 49 x^{12} + 135 x^{12} - 240 x^{11} + 105 x^{10} + 36 x^{15} - 64 x^{14} + 28 x^{13} + 108 x^{13} - 192 x^{12} + 84 x^{11} + 108 x^{11} - 192 x^{10} + 84 x^{9} + 36 x^{9} + 4 \cdot - 16 (x^{7} x^{1}) + 4 x (7 x^{6}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.15.56.2.2

घातांकों को संयोजित करने के लिए घात नियम $a^{m} a^{n} = a^{m + n}$ का उपयोग करें.

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 49 x^{12} + 135 x^{12} - 240 x^{11} + 105 x^{10} + 36 x^{15} - 64 x^{14} + 28 x^{13} + 108 x^{13} - 192 x^{12} + 84 x^{11} + 108 x^{11} - 192 x^{10} + 84 x^{9} + 36 x^{9} + 4 \cdot - 16 x^{7 + 1} + 4 x (7 x^{6}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.15.56.3

$7$ और $1$ जोड़ें.

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 49 x^{12} + 135 x^{12} - 240 x^{11} + 105 x^{10} + 36 x^{15} - 64 x^{14} + 28 x^{13} + 108 x^{13} - 192 x^{12} + 84 x^{11} + 108 x^{11} - 192 x^{10} + 84 x^{9} + 36 x^{9} + 4 \cdot - 16 x^{8} + 4 x (7 x^{6}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.15.57

$4$ को $- 16$ से गुणा करें.

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 49 x^{12} + 135 x^{12} - 240 x^{11} + 105 x^{10} + 36 x^{15} - 64 x^{14} + 28 x^{13} + 108 x^{13} - 192 x^{12} + 84 x^{11} + 108 x^{11} - 192 x^{10} + 84 x^{9} + 36 x^{9} - 64 x^{8} + 4 x (7 x^{6}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.15.58

गुणन के क्रमविनिमेय गुण का उपयोग करके फिर से लिखें.

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 49 x^{12} + 135 x^{12} - 240 x^{11} + 105 x^{10} + 36 x^{15} - 64 x^{14} + 28 x^{13} + 108 x^{13} - 192 x^{12} + 84 x^{11} + 108 x^{11} - 192 x^{10} + 84 x^{9} + 36 x^{9} - 64 x^{8} + 4 \cdot 7 x \cdot x^{6} + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.15.59

घातांक जोड़कर $x$ को $x^{6}$ से गुणा करें.

और स्टेप्स के लिए टैप करें…

चरण 10.4.15.59.1

$x^{6}$ ले जाएं.

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 49 x^{12} + 135 x^{12} - 240 x^{11} + 105 x^{10} + 36 x^{15} - 64 x^{14} + 28 x^{13} + 108 x^{13} - 192 x^{12} + 84 x^{11} + 108 x^{11} - 192 x^{10} + 84 x^{9} + 36 x^{9} - 64 x^{8} + 4 \cdot 7 (x^{6} x) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.15.59.2

$x^{6}$ को $x$ से गुणा करें.

और स्टेप्स के लिए टैप करें…

चरण 10.4.15.59.2.1

$x$ को $1$ के घात तक बढ़ाएं.

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 49 x^{12} + 135 x^{12} - 240 x^{11} + 105 x^{10} + 36 x^{15} - 64 x^{14} + 28 x^{13} + 108 x^{13} - 192 x^{12} + 84 x^{11} + 108 x^{11} - 192 x^{10} + 84 x^{9} + 36 x^{9} - 64 x^{8} + 4 \cdot 7 (x^{6} x^{1}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.15.59.2.2

घातांकों को संयोजित करने के लिए घात नियम $a^{m} a^{n} = a^{m + n}$ का उपयोग करें.

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 49 x^{12} + 135 x^{12} - 240 x^{11} + 105 x^{10} + 36 x^{15} - 64 x^{14} + 28 x^{13} + 108 x^{13} - 192 x^{12} + 84 x^{11} + 108 x^{11} - 192 x^{10} + 84 x^{9} + 36 x^{9} - 64 x^{8} + 4 \cdot 7 x^{6 + 1} + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.15.59.3

$6$ और $1$ जोड़ें.

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 49 x^{12} + 135 x^{12} - 240 x^{11} + 105 x^{10} + 36 x^{15} - 64 x^{14} + 28 x^{13} + 108 x^{13} - 192 x^{12} + 84 x^{11} + 108 x^{11} - 192 x^{10} + 84 x^{9} + 36 x^{9} - 64 x^{8} + 4 \cdot 7 x^{7} + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.15.60

$4$ को $7$ से गुणा करें.

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 49 x^{12} + 135 x^{12} - 240 x^{11} + 105 x^{10} + 36 x^{15} - 64 x^{14} + 28 x^{13} + 108 x^{13} - 192 x^{12} + 84 x^{11} + 108 x^{11} - 192 x^{10} + 84 x^{9} + 36 x^{9} - 64 x^{8} + 28 x^{7} + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.15.61

गुणन के क्रमविनिमेय गुण का उपयोग करके फिर से लिखें.

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 49 x^{12} + 135 x^{12} - 240 x^{11} + 105 x^{10} + 36 x^{15} - 64 x^{14} + 28 x^{13} + 108 x^{13} - 192 x^{12} + 84 x^{11} + 108 x^{11} - 192 x^{10} + 84 x^{9} + 36 x^{9} - 64 x^{8} + 28 x^{7} + 13 \cdot 9 x^{2} x^{8} + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.15.62

घातांक जोड़कर $x^{2}$ को $x^{8}$ से गुणा करें.

और स्टेप्स के लिए टैप करें…

चरण 10.4.15.62.1

$x^{8}$ ले जाएं.

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 49 x^{12} + 135 x^{12} - 240 x^{11} + 105 x^{10} + 36 x^{15} - 64 x^{14} + 28 x^{13} + 108 x^{13} - 192 x^{12} + 84 x^{11} + 108 x^{11} - 192 x^{10} + 84 x^{9} + 36 x^{9} - 64 x^{8} + 28 x^{7} + 13 \cdot 9 (x^{8} x^{2}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.15.62.2

घातांकों को संयोजित करने के लिए घात नियम $a^{m} a^{n} = a^{m + n}$ का उपयोग करें.

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 49 x^{12} + 135 x^{12} - 240 x^{11} + 105 x^{10} + 36 x^{15} - 64 x^{14} + 28 x^{13} + 108 x^{13} - 192 x^{12} + 84 x^{11} + 108 x^{11} - 192 x^{10} + 84 x^{9} + 36 x^{9} - 64 x^{8} + 28 x^{7} + 13 \cdot 9 x^{8 + 2} + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.15.62.3

$8$ और $2$ जोड़ें.

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 49 x^{12} + 135 x^{12} - 240 x^{11} + 105 x^{10} + 36 x^{15} - 64 x^{14} + 28 x^{13} + 108 x^{13} - 192 x^{12} + 84 x^{11} + 108 x^{11} - 192 x^{10} + 84 x^{9} + 36 x^{9} - 64 x^{8} + 28 x^{7} + 13 \cdot 9 x^{10} + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.15.63

$13$ को $9$ से गुणा करें.

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 49 x^{12} + 135 x^{12} - 240 x^{11} + 105 x^{10} + 36 x^{15} - 64 x^{14} + 28 x^{13} + 108 x^{13} - 192 x^{12} + 84 x^{11} + 108 x^{11} - 192 x^{10} + 84 x^{9} + 36 x^{9} - 64 x^{8} + 28 x^{7} + 117 x^{10} + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.15.64

गुणन के क्रमविनिमेय गुण का उपयोग करके फिर से लिखें.

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 49 x^{12} + 135 x^{12} - 240 x^{11} + 105 x^{10} + 36 x^{15} - 64 x^{14} + 28 x^{13} + 108 x^{13} - 192 x^{12} + 84 x^{11} + 108 x^{11} - 192 x^{10} + 84 x^{9} + 36 x^{9} - 64 x^{8} + 28 x^{7} + 117 x^{10} + 13 \cdot - 16 x^{2} x^{7} + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.15.65

घातांक जोड़कर $x^{2}$ को $x^{7}$ से गुणा करें.

और स्टेप्स के लिए टैप करें…

चरण 10.4.15.65.1

$x^{7}$ ले जाएं.

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 49 x^{12} + 135 x^{12} - 240 x^{11} + 105 x^{10} + 36 x^{15} - 64 x^{14} + 28 x^{13} + 108 x^{13} - 192 x^{12} + 84 x^{11} + 108 x^{11} - 192 x^{10} + 84 x^{9} + 36 x^{9} - 64 x^{8} + 28 x^{7} + 117 x^{10} + 13 \cdot - 16 (x^{7} x^{2}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.15.65.2

घातांकों को संयोजित करने के लिए घात नियम $a^{m} a^{n} = a^{m + n}$ का उपयोग करें.

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 49 x^{12} + 135 x^{12} - 240 x^{11} + 105 x^{10} + 36 x^{15} - 64 x^{14} + 28 x^{13} + 108 x^{13} - 192 x^{12} + 84 x^{11} + 108 x^{11} - 192 x^{10} + 84 x^{9} + 36 x^{9} - 64 x^{8} + 28 x^{7} + 117 x^{10} + 13 \cdot - 16 x^{7 + 2} + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.15.65.3

$7$ और $2$ जोड़ें.

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 49 x^{12} + 135 x^{12} - 240 x^{11} + 105 x^{10} + 36 x^{15} - 64 x^{14} + 28 x^{13} + 108 x^{13} - 192 x^{12} + 84 x^{11} + 108 x^{11} - 192 x^{10} + 84 x^{9} + 36 x^{9} - 64 x^{8} + 28 x^{7} + 117 x^{10} + 13 \cdot - 16 x^{9} + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.15.66

$13$ को $- 16$ से गुणा करें.

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 49 x^{12} + 135 x^{12} - 240 x^{11} + 105 x^{10} + 36 x^{15} - 64 x^{14} + 28 x^{13} + 108 x^{13} - 192 x^{12} + 84 x^{11} + 108 x^{11} - 192 x^{10} + 84 x^{9} + 36 x^{9} - 64 x^{8} + 28 x^{7} + 117 x^{10} - 208 x^{9} + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.15.67

गुणन के क्रमविनिमेय गुण का उपयोग करके फिर से लिखें.

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 49 x^{12} + 135 x^{12} - 240 x^{11} + 105 x^{10} + 36 x^{15} - 64 x^{14} + 28 x^{13} + 108 x^{13} - 192 x^{12} + 84 x^{11} + 108 x^{11} - 192 x^{10} + 84 x^{9} + 36 x^{9} - 64 x^{8} + 28 x^{7} + 117 x^{10} - 208 x^{9} + 13 \cdot 7 x^{2} x^{6} + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.15.68

घातांक जोड़कर $x^{2}$ को $x^{6}$ से गुणा करें.

और स्टेप्स के लिए टैप करें…

चरण 10.4.15.68.1

$x^{6}$ ले जाएं.

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 49 x^{12} + 135 x^{12} - 240 x^{11} + 105 x^{10} + 36 x^{15} - 64 x^{14} + 28 x^{13} + 108 x^{13} - 192 x^{12} + 84 x^{11} + 108 x^{11} - 192 x^{10} + 84 x^{9} + 36 x^{9} - 64 x^{8} + 28 x^{7} + 117 x^{10} - 208 x^{9} + 13 \cdot 7 (x^{6} x^{2}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.15.68.2

घातांकों को संयोजित करने के लिए घात नियम $a^{m} a^{n} = a^{m + n}$ का उपयोग करें.

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 49 x^{12} + 135 x^{12} - 240 x^{11} + 105 x^{10} + 36 x^{15} - 64 x^{14} + 28 x^{13} + 108 x^{13} - 192 x^{12} + 84 x^{11} + 108 x^{11} - 192 x^{10} + 84 x^{9} + 36 x^{9} - 64 x^{8} + 28 x^{7} + 117 x^{10} - 208 x^{9} + 13 \cdot 7 x^{6 + 2} + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.15.68.3

$6$ और $2$ जोड़ें.

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 49 x^{12} + 135 x^{12} - 240 x^{11} + 105 x^{10} + 36 x^{15} - 64 x^{14} + 28 x^{13} + 108 x^{13} - 192 x^{12} + 84 x^{11} + 108 x^{11} - 192 x^{10} + 84 x^{9} + 36 x^{9} - 64 x^{8} + 28 x^{7} + 117 x^{10} - 208 x^{9} + 13 \cdot 7 x^{8} + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.15.69

$13$ को $7$ से गुणा करें.

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 49 x^{12} + 135 x^{12} - 240 x^{11} + 105 x^{10} + 36 x^{15} - 64 x^{14} + 28 x^{13} + 108 x^{13} - 192 x^{12} + 84 x^{11} + 108 x^{11} - 192 x^{10} + 84 x^{9} + 36 x^{9} - 64 x^{8} + 28 x^{7} + 117 x^{10} - 208 x^{9} + 91 x^{8} + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.15.70

$9$ को $4$ से गुणा करें.

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 49 x^{12} + 135 x^{12} - 240 x^{11} + 105 x^{10} + 36 x^{15} - 64 x^{14} + 28 x^{13} + 108 x^{13} - 192 x^{12} + 84 x^{11} + 108 x^{11} - 192 x^{10} + 84 x^{9} + 36 x^{9} - 64 x^{8} + 28 x^{7} + 117 x^{10} - 208 x^{9} + 91 x^{8} + 36 x^{8} + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.15.71

$- 16$ को $4$ से गुणा करें.

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 49 x^{12} + 135 x^{12} - 240 x^{11} + 105 x^{10} + 36 x^{15} - 64 x^{14} + 28 x^{13} + 108 x^{13} - 192 x^{12} + 84 x^{11} + 108 x^{11} - 192 x^{10} + 84 x^{9} + 36 x^{9} - 64 x^{8} + 28 x^{7} + 117 x^{10} - 208 x^{9} + 91 x^{8} + 36 x^{8} - 64 x^{7} + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.15.72

$7$ को $4$ से गुणा करें.

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 49 x^{12} + 135 x^{12} - 240 x^{11} + 105 x^{10} + 36 x^{15} - 64 x^{14} + 28 x^{13} + 108 x^{13} - 192 x^{12} + 84 x^{11} + 108 x^{11} - 192 x^{10} + 84 x^{9} + 36 x^{9} - 64 x^{8} + 28 x^{7} + 117 x^{10} - 208 x^{9} + 91 x^{8} + 36 x^{8} - 64 x^{7} + 28 x^{6} - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.16

$- 16 x^{15}$ और $36 x^{15}$ जोड़ें.

$\frac{9 x^{16} + 20 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 49 x^{12} + 135 x^{12} - 240 x^{11} + 105 x^{10} - 64 x^{14} + 28 x^{13} + 108 x^{13} - 192 x^{12} + 84 x^{11} + 108 x^{11} - 192 x^{10} + 84 x^{9} + 36 x^{9} - 64 x^{8} + 28 x^{7} + 117 x^{10} - 208 x^{9} + 91 x^{8} + 36 x^{8} - 64 x^{7} + 28 x^{6} - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.17

$7 x^{14}$ और $63 x^{14}$ जोड़ें.

$\frac{9 x^{16} + 20 x^{15} + 70 x^{14} - 112 x^{13} + 49 x^{12} + 135 x^{12} - 240 x^{11} + 105 x^{10} - 64 x^{14} + 28 x^{13} + 108 x^{13} - 192 x^{12} + 84 x^{11} + 108 x^{11} - 192 x^{10} + 84 x^{9} + 36 x^{9} - 64 x^{8} + 28 x^{7} + 117 x^{10} - 208 x^{9} + 91 x^{8} + 36 x^{8} - 64 x^{7} + 28 x^{6} - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.18

$70 x^{14}$ में से $64 x^{14}$ घटाएं.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} - 112 x^{13} + 49 x^{12} + 135 x^{12} - 240 x^{11} + 105 x^{10} + 28 x^{13} + 108 x^{13} - 192 x^{12} + 84 x^{11} + 108 x^{11} - 192 x^{10} + 84 x^{9} + 36 x^{9} - 64 x^{8} + 28 x^{7} + 117 x^{10} - 208 x^{9} + 91 x^{8} + 36 x^{8} - 64 x^{7} + 28 x^{6} - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.19

$- 112 x^{13}$ और $28 x^{13}$ जोड़ें.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} - 84 x^{13} + 49 x^{12} + 135 x^{12} - 240 x^{11} + 105 x^{10} + 108 x^{13} - 192 x^{12} + 84 x^{11} + 108 x^{11} - 192 x^{10} + 84 x^{9} + 36 x^{9} - 64 x^{8} + 28 x^{7} + 117 x^{10} - 208 x^{9} + 91 x^{8} + 36 x^{8} - 64 x^{7} + 28 x^{6} - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.20

$- 84 x^{13}$ और $108 x^{13}$ जोड़ें.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} + 49 x^{12} + 135 x^{12} - 240 x^{11} + 105 x^{10} - 192 x^{12} + 84 x^{11} + 108 x^{11} - 192 x^{10} + 84 x^{9} + 36 x^{9} - 64 x^{8} + 28 x^{7} + 117 x^{10} - 208 x^{9} + 91 x^{8} + 36 x^{8} - 64 x^{7} + 28 x^{6} - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.21

$49 x^{12}$ और $135 x^{12}$ जोड़ें.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} + 184 x^{12} - 240 x^{11} + 105 x^{10} - 192 x^{12} + 84 x^{11} + 108 x^{11} - 192 x^{10} + 84 x^{9} + 36 x^{9} - 64 x^{8} + 28 x^{7} + 117 x^{10} - 208 x^{9} + 91 x^{8} + 36 x^{8} - 64 x^{7} + 28 x^{6} - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.22

$184 x^{12}$ में से $192 x^{12}$ घटाएं.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 240 x^{11} + 105 x^{10} + 84 x^{11} + 108 x^{11} - 192 x^{10} + 84 x^{9} + 36 x^{9} - 64 x^{8} + 28 x^{7} + 117 x^{10} - 208 x^{9} + 91 x^{8} + 36 x^{8} - 64 x^{7} + 28 x^{6} - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.23

$- 240 x^{11}$ और $84 x^{11}$ जोड़ें.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 156 x^{11} + 105 x^{10} + 108 x^{11} - 192 x^{10} + 84 x^{9} + 36 x^{9} - 64 x^{8} + 28 x^{7} + 117 x^{10} - 208 x^{9} + 91 x^{8} + 36 x^{8} - 64 x^{7} + 28 x^{6} - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.24

$- 156 x^{11}$ और $108 x^{11}$ जोड़ें.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 105 x^{10} - 192 x^{10} + 84 x^{9} + 36 x^{9} - 64 x^{8} + 28 x^{7} + 117 x^{10} - 208 x^{9} + 91 x^{8} + 36 x^{8} - 64 x^{7} + 28 x^{6} - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.25

$105 x^{10}$ में से $192 x^{10}$ घटाएं.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} - 87 x^{10} + 84 x^{9} + 36 x^{9} - 64 x^{8} + 28 x^{7} + 117 x^{10} - 208 x^{9} + 91 x^{8} + 36 x^{8} - 64 x^{7} + 28 x^{6} - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.26

$- 87 x^{10}$ और $117 x^{10}$ जोड़ें.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} + 84 x^{9} + 36 x^{9} - 64 x^{8} + 28 x^{7} - 208 x^{9} + 91 x^{8} + 36 x^{8} - 64 x^{7} + 28 x^{6} - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.27

$84 x^{9}$ और $36 x^{9}$ जोड़ें.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} + 120 x^{9} - 64 x^{8} + 28 x^{7} - 208 x^{9} + 91 x^{8} + 36 x^{8} - 64 x^{7} + 28 x^{6} - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.28

$120 x^{9}$ में से $208 x^{9}$ घटाएं.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} - 64 x^{8} + 28 x^{7} + 91 x^{8} + 36 x^{8} - 64 x^{7} + 28 x^{6} - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.29

$- 64 x^{8}$ और $91 x^{8}$ जोड़ें.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 27 x^{8} + 28 x^{7} + 36 x^{8} - 64 x^{7} + 28 x^{6} - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.30

$27 x^{8}$ और $36 x^{8}$ जोड़ें.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} + 28 x^{7} - 64 x^{7} + 28 x^{6} - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.31

$28 x^{7}$ में से $64 x^{7}$ घटाएं.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.32

${(x - 1)}^{2}$ को $(x - 1) (x - 1)$ के रूप में फिर से लिखें.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - x^{7} ((x - 1) (x - 1)) (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.33

FOIL विधि का उपयोग करके $(x - 1) (x - 1)$ का प्रसार करें.

और स्टेप्स के लिए टैप करें…

चरण 10.4.33.1

वितरण गुणधर्म लागू करें.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - x^{7} (x (x - 1) - 1 (x - 1)) (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.33.2

वितरण गुणधर्म लागू करें.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - x^{7} (x \cdot x + x \cdot - 1 - 1 (x - 1)) (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.33.3

वितरण गुणधर्म लागू करें.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - x^{7} (x \cdot x + x \cdot - 1 - 1 x - 1 \cdot - 1) (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.34

समान पदों को सरल और संयोजित करें.

और स्टेप्स के लिए टैप करें…

चरण 10.4.34.1

प्रत्येक पद को सरल करें.

और स्टेप्स के लिए टैप करें…

चरण 10.4.34.1.1

$x$ को $x$ से गुणा करें.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - x^{7} (x^{2} + x \cdot - 1 - 1 x - 1 \cdot - 1) (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.34.1.2

$- 1$ को $x$ के बाईं ओर ले जाएं.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - x^{7} (x^{2} - 1 \cdot x - 1 x - 1 \cdot - 1) (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.34.1.3

$- 1 x$ को $- x$ के रूप में फिर से लिखें.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - x^{7} (x^{2} - x - 1 x - 1 \cdot - 1) (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.34.1.4

$- 1 x$ को $- x$ के रूप में फिर से लिखें.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - x^{7} (x^{2} - x - x - 1 \cdot - 1) (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.34.1.5

$- 1$ को $- 1$ से गुणा करें.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - x^{7} (x^{2} - x - x + 1) (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.34.2

$- x$ में से $x$ घटाएं.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - x^{7} (x^{2} - 2 x + 1) (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.35

वितरण गुणधर्म लागू करें.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{7} x^{2} - x^{7} (- 2 x) - x^{7} \cdot 1) (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.36

सरल करें.

और स्टेप्स के लिए टैप करें…

चरण 10.4.36.1

घातांक जोड़कर $x^{7}$ को $x^{2}$ से गुणा करें.

और स्टेप्स के लिए टैप करें…

चरण 10.4.36.1.1

$x^{2}$ ले जाएं.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- (x^{2} x^{7}) - x^{7} (- 2 x) - x^{7} \cdot 1) (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.36.1.2

घातांकों को संयोजित करने के लिए घात नियम $a^{m} a^{n} = a^{m + n}$ का उपयोग करें.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{2 + 7} - x^{7} (- 2 x) - x^{7} \cdot 1) (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.36.1.3

$2$ और $7$ जोड़ें.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} - x^{7} (- 2 x) - x^{7} \cdot 1) (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.36.2

गुणन के क्रमविनिमेय गुण का उपयोग करके फिर से लिखें.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} - 1 \cdot - 2 x^{7} x - x^{7} \cdot 1) (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.36.3

$- 1$ को $1$ से गुणा करें.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} - 1 \cdot - 2 x^{7} x - x^{7}) (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.37

प्रत्येक पद को सरल करें.

और स्टेप्स के लिए टैप करें…

चरण 10.4.37.1

घातांक जोड़कर $x^{7}$ को $x$ से गुणा करें.

और स्टेप्स के लिए टैप करें…

चरण 10.4.37.1.1

$x$ ले जाएं.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} - 1 \cdot - 2 (x \cdot x^{7}) - x^{7}) (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.37.1.2

$x$ को $x^{7}$ से गुणा करें.

और स्टेप्स के लिए टैप करें…

चरण 10.4.37.1.2.1

$x$ को $1$ के घात तक बढ़ाएं.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} - 1 \cdot - 2 (x^{1} x^{7}) - x^{7}) (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.37.1.2.2

घातांकों को संयोजित करने के लिए घात नियम $a^{m} a^{n} = a^{m + n}$ का उपयोग करें.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} - 1 \cdot - 2 x^{1 + 7} - x^{7}) (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.37.1.3

$1$ और $7$ जोड़ें.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} - 1 \cdot - 2 x^{8} - x^{7}) (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.37.2

$- 1$ को $- 2$ से गुणा करें.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.38

प्रत्येक पद को सरल करें.

और स्टेप्स के लिए टैप करें…

चरण 10.4.38.1

${(x + 2)}^{2}$ को $(x + 2) (x + 2)$ के रूप में फिर से लिखें.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) (6 ((x + 2) (x + 2)) {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.38.2

FOIL विधि का उपयोग करके $(x + 2) (x + 2)$ का प्रसार करें.

और स्टेप्स के लिए टैप करें…

चरण 10.4.38.2.1

वितरण गुणधर्म लागू करें.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) (6 (x (x + 2) + 2 (x + 2)) {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.38.2.2

वितरण गुणधर्म लागू करें.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) (6 (x \cdot x + x \cdot 2 + 2 (x + 2)) {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.38.2.3

वितरण गुणधर्म लागू करें.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) (6 (x \cdot x + x \cdot 2 + 2 x + 2 \cdot 2) {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.38.3

समान पदों को सरल और संयोजित करें.

और स्टेप्स के लिए टैप करें…

चरण 10.4.38.3.1

प्रत्येक पद को सरल करें.

और स्टेप्स के लिए टैप करें…

चरण 10.4.38.3.1.1

$x$ को $x$ से गुणा करें.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) (6 (x^{2} + x \cdot 2 + 2 x + 2 \cdot 2) {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.38.3.1.2

$2$ को $x$ के बाईं ओर ले जाएं.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) (6 (x^{2} + 2 \cdot x + 2 x + 2 \cdot 2) {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.38.3.1.3

$2$ को $2$ से गुणा करें.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) (6 (x^{2} + 2 x + 2 x + 4) {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.38.3.2

$2 x$ और $2 x$ जोड़ें.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) (6 (x^{2} + 4 x + 4) {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.38.4

वितरण गुणधर्म लागू करें.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) ((6 x^{2} + 6 (4 x) + 6 \cdot 4) {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.38.5

सरल करें.

और स्टेप्स के लिए टैप करें…

चरण 10.4.38.5.1

$4$ को $6$ से गुणा करें.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) ((6 x^{2} + 24 x + 6 \cdot 4) {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.38.5.2

$6$ को $4$ से गुणा करें.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) ((6 x^{2} + 24 x + 24) {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.38.6

${(x^{2} + 1)}^{2}$ को $(x^{2} + 1) (x^{2} + 1)$ के रूप में फिर से लिखें.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) ((6 x^{2} + 24 x + 24) ((x^{2} + 1) (x^{2} + 1)) x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.38.7

FOIL विधि का उपयोग करके $(x^{2} + 1) (x^{2} + 1)$ का प्रसार करें.

और स्टेप्स के लिए टैप करें…

चरण 10.4.38.7.1

वितरण गुणधर्म लागू करें.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) ((6 x^{2} + 24 x + 24) (x^{2} (x^{2} + 1) + 1 (x^{2} + 1)) x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.38.7.2

वितरण गुणधर्म लागू करें.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) ((6 x^{2} + 24 x + 24) (x^{2} x^{2} + x^{2} \cdot 1 + 1 (x^{2} + 1)) x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.38.7.3

वितरण गुणधर्म लागू करें.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) ((6 x^{2} + 24 x + 24) (x^{2} x^{2} + x^{2} \cdot 1 + 1 x^{2} + 1 \cdot 1) x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.38.8

समान पदों को सरल और संयोजित करें.

और स्टेप्स के लिए टैप करें…

चरण 10.4.38.8.1

प्रत्येक पद को सरल करें.

और स्टेप्स के लिए टैप करें…

चरण 10.4.38.8.1.1

घातांक जोड़कर $x^{2}$ को $x^{2}$ से गुणा करें.

और स्टेप्स के लिए टैप करें…

चरण 10.4.38.8.1.1.1

घातांकों को संयोजित करने के लिए घात नियम $a^{m} a^{n} = a^{m + n}$ का उपयोग करें.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) ((6 x^{2} + 24 x + 24) (x^{2 + 2} + x^{2} \cdot 1 + 1 x^{2} + 1 \cdot 1) x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.38.8.1.1.2

$2$ और $2$ जोड़ें.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) ((6 x^{2} + 24 x + 24) (x^{4} + x^{2} \cdot 1 + 1 x^{2} + 1 \cdot 1) x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.38.8.1.2

$x^{2}$ को $1$ से गुणा करें.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) ((6 x^{2} + 24 x + 24) (x^{4} + x^{2} + 1 x^{2} + 1 \cdot 1) x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.38.8.1.3

$x^{2}$ को $1$ से गुणा करें.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) ((6 x^{2} + 24 x + 24) (x^{4} + x^{2} + x^{2} + 1 \cdot 1) x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.38.8.1.4

$1$ को $1$ से गुणा करें.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) ((6 x^{2} + 24 x + 24) (x^{4} + x^{2} + x^{2} + 1) x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.38.8.2

$x^{2}$ और $x^{2}$ जोड़ें.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) ((6 x^{2} + 24 x + 24) (x^{4} + 2 x^{2} + 1) x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.38.9

प्रथम व्यंजक के प्रत्येक पद को द्वितीय व्यंजक के प्रत्येक पद से गुणा करके $(6 x^{2} + 24 x + 24) (x^{4} + 2 x^{2} + 1)$ का प्रसार करें.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) ((6 x^{2} x^{4} + 6 x^{2} (2 x^{2}) + 6 x^{2} \cdot 1 + 24 x \cdot x^{4} + 24 x (2 x^{2}) + 24 x \cdot 1 + 24 x^{4} + 24 (2 x^{2}) + 24 \cdot 1) x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.38.10

प्रत्येक पद को सरल करें.

और स्टेप्स के लिए टैप करें…

चरण 10.4.38.10.1

घातांक जोड़कर $x^{2}$ को $x^{4}$ से गुणा करें.

और स्टेप्स के लिए टैप करें…

चरण 10.4.38.10.1.1

$x^{4}$ ले जाएं.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) ((6 (x^{4} x^{2}) + 6 x^{2} (2 x^{2}) + 6 x^{2} \cdot 1 + 24 x \cdot x^{4} + 24 x (2 x^{2}) + 24 x \cdot 1 + 24 x^{4} + 24 (2 x^{2}) + 24 \cdot 1) x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.38.10.1.2

घातांकों को संयोजित करने के लिए घात नियम $a^{m} a^{n} = a^{m + n}$ का उपयोग करें.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) ((6 x^{4 + 2} + 6 x^{2} (2 x^{2}) + 6 x^{2} \cdot 1 + 24 x \cdot x^{4} + 24 x (2 x^{2}) + 24 x \cdot 1 + 24 x^{4} + 24 (2 x^{2}) + 24 \cdot 1) x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.38.10.1.3

$4$ और $2$ जोड़ें.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) ((6 x^{6} + 6 x^{2} (2 x^{2}) + 6 x^{2} \cdot 1 + 24 x \cdot x^{4} + 24 x (2 x^{2}) + 24 x \cdot 1 + 24 x^{4} + 24 (2 x^{2}) + 24 \cdot 1) x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.38.10.2

गुणन के क्रमविनिमेय गुण का उपयोग करके फिर से लिखें.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) ((6 x^{6} + 6 \cdot 2 x^{2} x^{2} + 6 x^{2} \cdot 1 + 24 x \cdot x^{4} + 24 x (2 x^{2}) + 24 x \cdot 1 + 24 x^{4} + 24 (2 x^{2}) + 24 \cdot 1) x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.38.10.3

घातांक जोड़कर $x^{2}$ को $x^{2}$ से गुणा करें.

और स्टेप्स के लिए टैप करें…

चरण 10.4.38.10.3.1

$x^{2}$ ले जाएं.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) ((6 x^{6} + 6 \cdot 2 (x^{2} x^{2}) + 6 x^{2} \cdot 1 + 24 x \cdot x^{4} + 24 x (2 x^{2}) + 24 x \cdot 1 + 24 x^{4} + 24 (2 x^{2}) + 24 \cdot 1) x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.38.10.3.2

घातांकों को संयोजित करने के लिए घात नियम $a^{m} a^{n} = a^{m + n}$ का उपयोग करें.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) ((6 x^{6} + 6 \cdot 2 x^{2 + 2} + 6 x^{2} \cdot 1 + 24 x \cdot x^{4} + 24 x (2 x^{2}) + 24 x \cdot 1 + 24 x^{4} + 24 (2 x^{2}) + 24 \cdot 1) x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.38.10.3.3

$2$ और $2$ जोड़ें.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) ((6 x^{6} + 6 \cdot 2 x^{4} + 6 x^{2} \cdot 1 + 24 x \cdot x^{4} + 24 x (2 x^{2}) + 24 x \cdot 1 + 24 x^{4} + 24 (2 x^{2}) + 24 \cdot 1) x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.38.10.4

$6$ को $2$ से गुणा करें.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) ((6 x^{6} + 12 x^{4} + 6 x^{2} \cdot 1 + 24 x \cdot x^{4} + 24 x (2 x^{2}) + 24 x \cdot 1 + 24 x^{4} + 24 (2 x^{2}) + 24 \cdot 1) x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.38.10.5

$6$ को $1$ से गुणा करें.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) ((6 x^{6} + 12 x^{4} + 6 x^{2} + 24 x \cdot x^{4} + 24 x (2 x^{2}) + 24 x \cdot 1 + 24 x^{4} + 24 (2 x^{2}) + 24 \cdot 1) x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.38.10.6

घातांक जोड़कर $x$ को $x^{4}$ से गुणा करें.

और स्टेप्स के लिए टैप करें…

चरण 10.4.38.10.6.1

$x^{4}$ ले जाएं.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) ((6 x^{6} + 12 x^{4} + 6 x^{2} + 24 (x^{4} x) + 24 x (2 x^{2}) + 24 x \cdot 1 + 24 x^{4} + 24 (2 x^{2}) + 24 \cdot 1) x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.38.10.6.2

$x^{4}$ को $x$ से गुणा करें.

और स्टेप्स के लिए टैप करें…

चरण 10.4.38.10.6.2.1

$x$ को $1$ के घात तक बढ़ाएं.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) ((6 x^{6} + 12 x^{4} + 6 x^{2} + 24 (x^{4} x^{1}) + 24 x (2 x^{2}) + 24 x \cdot 1 + 24 x^{4} + 24 (2 x^{2}) + 24 \cdot 1) x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.38.10.6.2.2

घातांकों को संयोजित करने के लिए घात नियम $a^{m} a^{n} = a^{m + n}$ का उपयोग करें.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) ((6 x^{6} + 12 x^{4} + 6 x^{2} + 24 x^{4 + 1} + 24 x (2 x^{2}) + 24 x \cdot 1 + 24 x^{4} + 24 (2 x^{2}) + 24 \cdot 1) x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.38.10.6.3

$4$ और $1$ जोड़ें.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) ((6 x^{6} + 12 x^{4} + 6 x^{2} + 24 x^{5} + 24 x (2 x^{2}) + 24 x \cdot 1 + 24 x^{4} + 24 (2 x^{2}) + 24 \cdot 1) x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.38.10.7

गुणन के क्रमविनिमेय गुण का उपयोग करके फिर से लिखें.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) ((6 x^{6} + 12 x^{4} + 6 x^{2} + 24 x^{5} + 24 \cdot 2 x \cdot x^{2} + 24 x \cdot 1 + 24 x^{4} + 24 (2 x^{2}) + 24 \cdot 1) x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.38.10.8

घातांक जोड़कर $x$ को $x^{2}$ से गुणा करें.

और स्टेप्स के लिए टैप करें…

चरण 10.4.38.10.8.1

$x^{2}$ ले जाएं.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) ((6 x^{6} + 12 x^{4} + 6 x^{2} + 24 x^{5} + 24 \cdot 2 (x^{2} x) + 24 x \cdot 1 + 24 x^{4} + 24 (2 x^{2}) + 24 \cdot 1) x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.38.10.8.2

$x^{2}$ को $x$ से गुणा करें.

और स्टेप्स के लिए टैप करें…

चरण 10.4.38.10.8.2.1

$x$ को $1$ के घात तक बढ़ाएं.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) ((6 x^{6} + 12 x^{4} + 6 x^{2} + 24 x^{5} + 24 \cdot 2 (x^{2} x^{1}) + 24 x \cdot 1 + 24 x^{4} + 24 (2 x^{2}) + 24 \cdot 1) x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.38.10.8.2.2

घातांकों को संयोजित करने के लिए घात नियम $a^{m} a^{n} = a^{m + n}$ का उपयोग करें.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) ((6 x^{6} + 12 x^{4} + 6 x^{2} + 24 x^{5} + 24 \cdot 2 x^{2 + 1} + 24 x \cdot 1 + 24 x^{4} + 24 (2 x^{2}) + 24 \cdot 1) x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.38.10.8.3

$2$ और $1$ जोड़ें.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) ((6 x^{6} + 12 x^{4} + 6 x^{2} + 24 x^{5} + 24 \cdot 2 x^{3} + 24 x \cdot 1 + 24 x^{4} + 24 (2 x^{2}) + 24 \cdot 1) x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.38.10.9

$24$ को $2$ से गुणा करें.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) ((6 x^{6} + 12 x^{4} + 6 x^{2} + 24 x^{5} + 48 x^{3} + 24 x \cdot 1 + 24 x^{4} + 24 (2 x^{2}) + 24 \cdot 1) x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.38.10.10

$24$ को $1$ से गुणा करें.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) ((6 x^{6} + 12 x^{4} + 6 x^{2} + 24 x^{5} + 48 x^{3} + 24 x + 24 x^{4} + 24 (2 x^{2}) + 24 \cdot 1) x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.38.10.11

$2$ को $24$ से गुणा करें.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) ((6 x^{6} + 12 x^{4} + 6 x^{2} + 24 x^{5} + 48 x^{3} + 24 x + 24 x^{4} + 48 x^{2} + 24 \cdot 1) x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.38.10.12

$24$ को $1$ से गुणा करें.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) ((6 x^{6} + 12 x^{4} + 6 x^{2} + 24 x^{5} + 48 x^{3} + 24 x + 24 x^{4} + 48 x^{2} + 24) x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.38.11

$12 x^{4}$ और $24 x^{4}$ जोड़ें.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) ((6 x^{6} + 36 x^{4} + 6 x^{2} + 24 x^{5} + 48 x^{3} + 24 x + 48 x^{2} + 24) x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.38.12

$6 x^{2}$ और $48 x^{2}$ जोड़ें.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) ((6 x^{6} + 36 x^{4} + 24 x^{5} + 48 x^{3} + 24 x + 54 x^{2} + 24) x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.38.13

वितरण गुणधर्म लागू करें.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) (6 x^{6} x + 36 x^{4} x + 24 x^{5} x + 48 x^{3} x + 24 x \cdot x + 54 x^{2} x + 24 x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.38.14

सरल करें.

और स्टेप्स के लिए टैप करें…

चरण 10.4.38.14.1

घातांक जोड़कर $x^{6}$ को $x$ से गुणा करें.

और स्टेप्स के लिए टैप करें…

चरण 10.4.38.14.1.1

$x$ ले जाएं.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) (6 (x \cdot x^{6}) + 36 x^{4} x + 24 x^{5} x + 48 x^{3} x + 24 x \cdot x + 54 x^{2} x + 24 x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.38.14.1.2

$x$ को $x^{6}$ से गुणा करें.

और स्टेप्स के लिए टैप करें…

चरण 10.4.38.14.1.2.1

$x$ को $1$ के घात तक बढ़ाएं.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) (6 (x^{1} x^{6}) + 36 x^{4} x + 24 x^{5} x + 48 x^{3} x + 24 x \cdot x + 54 x^{2} x + 24 x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.38.14.1.2.2

घातांकों को संयोजित करने के लिए घात नियम $a^{m} a^{n} = a^{m + n}$ का उपयोग करें.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) (6 x^{1 + 6} + 36 x^{4} x + 24 x^{5} x + 48 x^{3} x + 24 x \cdot x + 54 x^{2} x + 24 x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.38.14.1.3

$1$ और $6$ जोड़ें.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) (6 x^{7} + 36 x^{4} x + 24 x^{5} x + 48 x^{3} x + 24 x \cdot x + 54 x^{2} x + 24 x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.38.14.2

घातांक जोड़कर $x^{4}$ को $x$ से गुणा करें.

और स्टेप्स के लिए टैप करें…

चरण 10.4.38.14.2.1

$x$ ले जाएं.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) (6 x^{7} + 36 (x \cdot x^{4}) + 24 x^{5} x + 48 x^{3} x + 24 x \cdot x + 54 x^{2} x + 24 x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.38.14.2.2

$x$ को $x^{4}$ से गुणा करें.

और स्टेप्स के लिए टैप करें…

चरण 10.4.38.14.2.2.1

$x$ को $1$ के घात तक बढ़ाएं.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) (6 x^{7} + 36 (x^{1} x^{4}) + 24 x^{5} x + 48 x^{3} x + 24 x \cdot x + 54 x^{2} x + 24 x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.38.14.2.2.2

घातांकों को संयोजित करने के लिए घात नियम $a^{m} a^{n} = a^{m + n}$ का उपयोग करें.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) (6 x^{7} + 36 x^{1 + 4} + 24 x^{5} x + 48 x^{3} x + 24 x \cdot x + 54 x^{2} x + 24 x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.38.14.2.3

$1$ और $4$ जोड़ें.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) (6 x^{7} + 36 x^{5} + 24 x^{5} x + 48 x^{3} x + 24 x \cdot x + 54 x^{2} x + 24 x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.38.14.3

घातांक जोड़कर $x^{5}$ को $x$ से गुणा करें.

और स्टेप्स के लिए टैप करें…

चरण 10.4.38.14.3.1

$x$ ले जाएं.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) (6 x^{7} + 36 x^{5} + 24 (x \cdot x^{5}) + 48 x^{3} x + 24 x \cdot x + 54 x^{2} x + 24 x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.38.14.3.2

$x$ को $x^{5}$ से गुणा करें.

और स्टेप्स के लिए टैप करें…

चरण 10.4.38.14.3.2.1

$x$ को $1$ के घात तक बढ़ाएं.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) (6 x^{7} + 36 x^{5} + 24 (x^{1} x^{5}) + 48 x^{3} x + 24 x \cdot x + 54 x^{2} x + 24 x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.38.14.3.2.2

घातांकों को संयोजित करने के लिए घात नियम $a^{m} a^{n} = a^{m + n}$ का उपयोग करें.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) (6 x^{7} + 36 x^{5} + 24 x^{1 + 5} + 48 x^{3} x + 24 x \cdot x + 54 x^{2} x + 24 x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.38.14.3.3

$1$ और $5$ जोड़ें.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) (6 x^{7} + 36 x^{5} + 24 x^{6} + 48 x^{3} x + 24 x \cdot x + 54 x^{2} x + 24 x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.38.14.4

घातांक जोड़कर $x^{3}$ को $x$ से गुणा करें.

और स्टेप्स के लिए टैप करें…

चरण 10.4.38.14.4.1

$x$ ले जाएं.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) (6 x^{7} + 36 x^{5} + 24 x^{6} + 48 (x \cdot x^{3}) + 24 x \cdot x + 54 x^{2} x + 24 x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.38.14.4.2

$x$ को $x^{3}$ से गुणा करें.

और स्टेप्स के लिए टैप करें…

चरण 10.4.38.14.4.2.1

$x$ को $1$ के घात तक बढ़ाएं.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) (6 x^{7} + 36 x^{5} + 24 x^{6} + 48 (x^{1} x^{3}) + 24 x \cdot x + 54 x^{2} x + 24 x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.38.14.4.2.2

घातांकों को संयोजित करने के लिए घात नियम $a^{m} a^{n} = a^{m + n}$ का उपयोग करें.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) (6 x^{7} + 36 x^{5} + 24 x^{6} + 48 x^{1 + 3} + 24 x \cdot x + 54 x^{2} x + 24 x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.38.14.4.3

$1$ और $3$ जोड़ें.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) (6 x^{7} + 36 x^{5} + 24 x^{6} + 48 x^{4} + 24 x \cdot x + 54 x^{2} x + 24 x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.38.14.5

घातांक जोड़कर $x$ को $x$ से गुणा करें.

और स्टेप्स के लिए टैप करें…

चरण 10.4.38.14.5.1

$x$ ले जाएं.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) (6 x^{7} + 36 x^{5} + 24 x^{6} + 48 x^{4} + 24 (x \cdot x) + 54 x^{2} x + 24 x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.38.14.5.2

$x$ को $x$ से गुणा करें.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) (6 x^{7} + 36 x^{5} + 24 x^{6} + 48 x^{4} + 24 x^{2} + 54 x^{2} x + 24 x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.38.14.6

घातांक जोड़कर $x^{2}$ को $x$ से गुणा करें.

और स्टेप्स के लिए टैप करें…

चरण 10.4.38.14.6.1

$x$ ले जाएं.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) (6 x^{7} + 36 x^{5} + 24 x^{6} + 48 x^{4} + 24 x^{2} + 54 (x \cdot x^{2}) + 24 x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.38.14.6.2

$x$ को $x^{2}$ से गुणा करें.

और स्टेप्स के लिए टैप करें…

चरण 10.4.38.14.6.2.1

$x$ को $1$ के घात तक बढ़ाएं.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) (6 x^{7} + 36 x^{5} + 24 x^{6} + 48 x^{4} + 24 x^{2} + 54 (x^{1} x^{2}) + 24 x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.38.14.6.2.2

घातांकों को संयोजित करने के लिए घात नियम $a^{m} a^{n} = a^{m + n}$ का उपयोग करें.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) (6 x^{7} + 36 x^{5} + 24 x^{6} + 48 x^{4} + 24 x^{2} + 54 x^{1 + 2} + 24 x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.38.14.6.3

$1$ और $2$ जोड़ें.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) (6 x^{7} + 36 x^{5} + 24 x^{6} + 48 x^{4} + 24 x^{2} + 54 x^{3} + 24 x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.38.15

द्विपद प्रमेय का प्रयोग करें.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) (6 x^{7} + 36 x^{5} + 24 x^{6} + 48 x^{4} + 24 x^{2} + 54 x^{3} + 24 x + 2 ({(x^{2})}^{3} + 3 {(x^{2})}^{2} \cdot 1 + 3 x^{2} \cdot 1^{2} + 1^{3}) (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.38.16

प्रत्येक पद को सरल करें.

और स्टेप्स के लिए टैप करें…

चरण 10.4.38.16.1

घातांक को ${(x^{2})}^{3}$ में गुणा करें.

और स्टेप्स के लिए टैप करें…

चरण 10.4.38.16.1.1

घात नियम लागू करें और घातांक गुणा करें, ${(a^{m})}^{n} = a^{m n}$ .

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) (6 x^{7} + 36 x^{5} + 24 x^{6} + 48 x^{4} + 24 x^{2} + 54 x^{3} + 24 x + 2 (x^{2 \cdot 3} + 3 {(x^{2})}^{2} \cdot 1 + 3 x^{2} \cdot 1^{2} + 1^{3}) (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.38.16.1.2

$2$ को $3$ से गुणा करें.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) (6 x^{7} + 36 x^{5} + 24 x^{6} + 48 x^{4} + 24 x^{2} + 54 x^{3} + 24 x + 2 (x^{6} + 3 {(x^{2})}^{2} \cdot 1 + 3 x^{2} \cdot 1^{2} + 1^{3}) (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.38.16.2

घातांक को ${(x^{2})}^{2}$ में गुणा करें.

और स्टेप्स के लिए टैप करें…

चरण 10.4.38.16.2.1

घात नियम लागू करें और घातांक गुणा करें, ${(a^{m})}^{n} = a^{m n}$ .

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) (6 x^{7} + 36 x^{5} + 24 x^{6} + 48 x^{4} + 24 x^{2} + 54 x^{3} + 24 x + 2 (x^{6} + 3 x^{2 \cdot 2} \cdot 1 + 3 x^{2} \cdot 1^{2} + 1^{3}) (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.38.16.2.2

$2$ को $2$ से गुणा करें.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) (6 x^{7} + 36 x^{5} + 24 x^{6} + 48 x^{4} + 24 x^{2} + 54 x^{3} + 24 x + 2 (x^{6} + 3 x^{4} \cdot 1 + 3 x^{2} \cdot 1^{2} + 1^{3}) (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.38.16.3

$3$ को $1$ से गुणा करें.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) (6 x^{7} + 36 x^{5} + 24 x^{6} + 48 x^{4} + 24 x^{2} + 54 x^{3} + 24 x + 2 (x^{6} + 3 x^{4} + 3 x^{2} \cdot 1^{2} + 1^{3}) (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.38.16.4

एक का कोई भी घात एक होता है.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) (6 x^{7} + 36 x^{5} + 24 x^{6} + 48 x^{4} + 24 x^{2} + 54 x^{3} + 24 x + 2 (x^{6} + 3 x^{4} + 3 x^{2} \cdot 1 + 1^{3}) (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.38.16.5

$3$ को $1$ से गुणा करें.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) (6 x^{7} + 36 x^{5} + 24 x^{6} + 48 x^{4} + 24 x^{2} + 54 x^{3} + 24 x + 2 (x^{6} + 3 x^{4} + 3 x^{2} + 1^{3}) (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.38.16.6

एक का कोई भी घात एक होता है.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) (6 x^{7} + 36 x^{5} + 24 x^{6} + 48 x^{4} + 24 x^{2} + 54 x^{3} + 24 x + 2 (x^{6} + 3 x^{4} + 3 x^{2} + 1) (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.38.17

वितरण गुणधर्म लागू करें.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) (6 x^{7} + 36 x^{5} + 24 x^{6} + 48 x^{4} + 24 x^{2} + 54 x^{3} + 24 x + (2 x^{6} + 2 (3 x^{4}) + 2 (3 x^{2}) + 2 \cdot 1) (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.38.18

सरल करें.

और स्टेप्स के लिए टैप करें…

चरण 10.4.38.18.1

$3$ को $2$ से गुणा करें.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) (6 x^{7} + 36 x^{5} + 24 x^{6} + 48 x^{4} + 24 x^{2} + 54 x^{3} + 24 x + (2 x^{6} + 6 x^{4} + 2 (3 x^{2}) + 2 \cdot 1) (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.38.18.2

$3$ को $2$ से गुणा करें.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) (6 x^{7} + 36 x^{5} + 24 x^{6} + 48 x^{4} + 24 x^{2} + 54 x^{3} + 24 x + (2 x^{6} + 6 x^{4} + 6 x^{2} + 2 \cdot 1) (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.38.18.3

$2$ को $1$ से गुणा करें.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) (6 x^{7} + 36 x^{5} + 24 x^{6} + 48 x^{4} + 24 x^{2} + 54 x^{3} + 24 x + (2 x^{6} + 6 x^{4} + 6 x^{2} + 2) (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.38.19

प्रथम व्यंजक के प्रत्येक पद को द्वितीय व्यंजक के प्रत्येक पद से गुणा करके $(2 x^{6} + 6 x^{4} + 6 x^{2} + 2) (x + 2)$ का प्रसार करें.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) (6 x^{7} + 36 x^{5} + 24 x^{6} + 48 x^{4} + 24 x^{2} + 54 x^{3} + 24 x + 2 x^{6} x + 2 x^{6} \cdot 2 + 6 x^{4} x + 6 x^{4} \cdot 2 + 6 x^{2} x + 6 x^{2} \cdot 2 + 2 x + 2 \cdot 2)}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.38.20

प्रत्येक पद को सरल करें.

और स्टेप्स के लिए टैप करें…

चरण 10.4.38.20.1

घातांक जोड़कर $x^{6}$ को $x$ से गुणा करें.

और स्टेप्स के लिए टैप करें…

चरण 10.4.38.20.1.1

$x$ ले जाएं.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) (6 x^{7} + 36 x^{5} + 24 x^{6} + 48 x^{4} + 24 x^{2} + 54 x^{3} + 24 x + 2 (x \cdot x^{6}) + 2 x^{6} \cdot 2 + 6 x^{4} x + 6 x^{4} \cdot 2 + 6 x^{2} x + 6 x^{2} \cdot 2 + 2 x + 2 \cdot 2)}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.38.20.1.2

$x$ को $x^{6}$ से गुणा करें.

और स्टेप्स के लिए टैप करें…

चरण 10.4.38.20.1.2.1

$x$ को $1$ के घात तक बढ़ाएं.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) (6 x^{7} + 36 x^{5} + 24 x^{6} + 48 x^{4} + 24 x^{2} + 54 x^{3} + 24 x + 2 (x^{1} x^{6}) + 2 x^{6} \cdot 2 + 6 x^{4} x + 6 x^{4} \cdot 2 + 6 x^{2} x + 6 x^{2} \cdot 2 + 2 x + 2 \cdot 2)}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.38.20.1.2.2

घातांकों को संयोजित करने के लिए घात नियम $a^{m} a^{n} = a^{m + n}$ का उपयोग करें.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) (6 x^{7} + 36 x^{5} + 24 x^{6} + 48 x^{4} + 24 x^{2} + 54 x^{3} + 24 x + 2 x^{1 + 6} + 2 x^{6} \cdot 2 + 6 x^{4} x + 6 x^{4} \cdot 2 + 6 x^{2} x + 6 x^{2} \cdot 2 + 2 x + 2 \cdot 2)}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.38.20.1.3

$1$ और $6$ जोड़ें.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) (6 x^{7} + 36 x^{5} + 24 x^{6} + 48 x^{4} + 24 x^{2} + 54 x^{3} + 24 x + 2 x^{7} + 2 x^{6} \cdot 2 + 6 x^{4} x + 6 x^{4} \cdot 2 + 6 x^{2} x + 6 x^{2} \cdot 2 + 2 x + 2 \cdot 2)}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.38.20.2

$2$ को $2$ से गुणा करें.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) (6 x^{7} + 36 x^{5} + 24 x^{6} + 48 x^{4} + 24 x^{2} + 54 x^{3} + 24 x + 2 x^{7} + 4 x^{6} + 6 x^{4} x + 6 x^{4} \cdot 2 + 6 x^{2} x + 6 x^{2} \cdot 2 + 2 x + 2 \cdot 2)}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.38.20.3

घातांक जोड़कर $x^{4}$ को $x$ से गुणा करें.

और स्टेप्स के लिए टैप करें…

चरण 10.4.38.20.3.1

$x$ ले जाएं.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) (6 x^{7} + 36 x^{5} + 24 x^{6} + 48 x^{4} + 24 x^{2} + 54 x^{3} + 24 x + 2 x^{7} + 4 x^{6} + 6 (x \cdot x^{4}) + 6 x^{4} \cdot 2 + 6 x^{2} x + 6 x^{2} \cdot 2 + 2 x + 2 \cdot 2)}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.38.20.3.2

$x$ को $x^{4}$ से गुणा करें.

और स्टेप्स के लिए टैप करें…

चरण 10.4.38.20.3.2.1

$x$ को $1$ के घात तक बढ़ाएं.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) (6 x^{7} + 36 x^{5} + 24 x^{6} + 48 x^{4} + 24 x^{2} + 54 x^{3} + 24 x + 2 x^{7} + 4 x^{6} + 6 (x^{1} x^{4}) + 6 x^{4} \cdot 2 + 6 x^{2} x + 6 x^{2} \cdot 2 + 2 x + 2 \cdot 2)}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.38.20.3.2.2

घातांकों को संयोजित करने के लिए घात नियम $a^{m} a^{n} = a^{m + n}$ का उपयोग करें.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) (6 x^{7} + 36 x^{5} + 24 x^{6} + 48 x^{4} + 24 x^{2} + 54 x^{3} + 24 x + 2 x^{7} + 4 x^{6} + 6 x^{1 + 4} + 6 x^{4} \cdot 2 + 6 x^{2} x + 6 x^{2} \cdot 2 + 2 x + 2 \cdot 2)}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.38.20.3.3

$1$ और $4$ जोड़ें.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) (6 x^{7} + 36 x^{5} + 24 x^{6} + 48 x^{4} + 24 x^{2} + 54 x^{3} + 24 x + 2 x^{7} + 4 x^{6} + 6 x^{5} + 6 x^{4} \cdot 2 + 6 x^{2} x + 6 x^{2} \cdot 2 + 2 x + 2 \cdot 2)}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.38.20.4

$2$ को $6$ से गुणा करें.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) (6 x^{7} + 36 x^{5} + 24 x^{6} + 48 x^{4} + 24 x^{2} + 54 x^{3} + 24 x + 2 x^{7} + 4 x^{6} + 6 x^{5} + 12 x^{4} + 6 x^{2} x + 6 x^{2} \cdot 2 + 2 x + 2 \cdot 2)}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.38.20.5

घातांक जोड़कर $x^{2}$ को $x$ से गुणा करें.

और स्टेप्स के लिए टैप करें…

चरण 10.4.38.20.5.1

$x$ ले जाएं.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) (6 x^{7} + 36 x^{5} + 24 x^{6} + 48 x^{4} + 24 x^{2} + 54 x^{3} + 24 x + 2 x^{7} + 4 x^{6} + 6 x^{5} + 12 x^{4} + 6 (x \cdot x^{2}) + 6 x^{2} \cdot 2 + 2 x + 2 \cdot 2)}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.38.20.5.2

$x$ को $x^{2}$ से गुणा करें.

और स्टेप्स के लिए टैप करें…

चरण 10.4.38.20.5.2.1

$x$ को $1$ के घात तक बढ़ाएं.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) (6 x^{7} + 36 x^{5} + 24 x^{6} + 48 x^{4} + 24 x^{2} + 54 x^{3} + 24 x + 2 x^{7} + 4 x^{6} + 6 x^{5} + 12 x^{4} + 6 (x^{1} x^{2}) + 6 x^{2} \cdot 2 + 2 x + 2 \cdot 2)}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.38.20.5.2.2

घातांकों को संयोजित करने के लिए घात नियम $a^{m} a^{n} = a^{m + n}$ का उपयोग करें.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) (6 x^{7} + 36 x^{5} + 24 x^{6} + 48 x^{4} + 24 x^{2} + 54 x^{3} + 24 x + 2 x^{7} + 4 x^{6} + 6 x^{5} + 12 x^{4} + 6 x^{1 + 2} + 6 x^{2} \cdot 2 + 2 x + 2 \cdot 2)}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.38.20.5.3

$1$ और $2$ जोड़ें.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) (6 x^{7} + 36 x^{5} + 24 x^{6} + 48 x^{4} + 24 x^{2} + 54 x^{3} + 24 x + 2 x^{7} + 4 x^{6} + 6 x^{5} + 12 x^{4} + 6 x^{3} + 6 x^{2} \cdot 2 + 2 x + 2 \cdot 2)}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.38.20.6

$2$ को $6$ से गुणा करें.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) (6 x^{7} + 36 x^{5} + 24 x^{6} + 48 x^{4} + 24 x^{2} + 54 x^{3} + 24 x + 2 x^{7} + 4 x^{6} + 6 x^{5} + 12 x^{4} + 6 x^{3} + 12 x^{2} + 2 x + 2 \cdot 2)}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.38.20.7

$2$ को $2$ से गुणा करें.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) (6 x^{7} + 36 x^{5} + 24 x^{6} + 48 x^{4} + 24 x^{2} + 54 x^{3} + 24 x + 2 x^{7} + 4 x^{6} + 6 x^{5} + 12 x^{4} + 6 x^{3} + 12 x^{2} + 2 x + 4)}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.39

$6 x^{7}$ और $2 x^{7}$ जोड़ें.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) (8 x^{7} + 36 x^{5} + 24 x^{6} + 48 x^{4} + 24 x^{2} + 54 x^{3} + 24 x + 4 x^{6} + 6 x^{5} + 12 x^{4} + 6 x^{3} + 12 x^{2} + 2 x + 4)}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.40

$36 x^{5}$ और $6 x^{5}$ जोड़ें.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) (8 x^{7} + 42 x^{5} + 24 x^{6} + 48 x^{4} + 24 x^{2} + 54 x^{3} + 24 x + 4 x^{6} + 12 x^{4} + 6 x^{3} + 12 x^{2} + 2 x + 4)}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.41

$24 x^{6}$ और $4 x^{6}$ जोड़ें.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) (8 x^{7} + 42 x^{5} + 28 x^{6} + 48 x^{4} + 24 x^{2} + 54 x^{3} + 24 x + 12 x^{4} + 6 x^{3} + 12 x^{2} + 2 x + 4)}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.42

$48 x^{4}$ और $12 x^{4}$ जोड़ें.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) (8 x^{7} + 42 x^{5} + 28 x^{6} + 60 x^{4} + 24 x^{2} + 54 x^{3} + 24 x + 6 x^{3} + 12 x^{2} + 2 x + 4)}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.43

$24 x^{2}$ और $12 x^{2}$ जोड़ें.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) (8 x^{7} + 42 x^{5} + 28 x^{6} + 60 x^{4} + 54 x^{3} + 24 x + 6 x^{3} + 36 x^{2} + 2 x + 4)}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.44

$54 x^{3}$ और $6 x^{3}$ जोड़ें.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) (8 x^{7} + 42 x^{5} + 28 x^{6} + 60 x^{4} + 60 x^{3} + 24 x + 36 x^{2} + 2 x + 4)}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.45

$24 x$ और $2 x$ जोड़ें.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) (8 x^{7} + 42 x^{5} + 28 x^{6} + 60 x^{4} + 60 x^{3} + 36 x^{2} + 26 x + 4)}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.46

प्रथम व्यंजक के प्रत्येक पद को द्वितीय व्यंजक के प्रत्येक पद से गुणा करके $(- x^{9} + 2 x^{8} - x^{7}) (8 x^{7} + 42 x^{5} + 28 x^{6} + 60 x^{4} + 60 x^{3} + 36 x^{2} + 26 x + 4)$ का प्रसार करें.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - x^{9} (8 x^{7}) - x^{9} (42 x^{5}) - x^{9} (28 x^{6}) - x^{9} (60 x^{4}) - x^{9} (60 x^{3}) - x^{9} (36 x^{2}) - x^{9} (26 x) - x^{9} \cdot 4 + 2 x^{8} (8 x^{7}) + 2 x^{8} (42 x^{5}) + 2 x^{8} (28 x^{6}) + 2 x^{8} (60 x^{4}) + 2 x^{8} (60 x^{3}) + 2 x^{8} (36 x^{2}) + 2 x^{8} (26 x) + 2 x^{8} \cdot 4 - x^{7} (8 x^{7}) - x^{7} (42 x^{5}) - x^{7} (28 x^{6}) - x^{7} (60 x^{4}) - x^{7} (60 x^{3}) - x^{7} (36 x^{2}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.47

प्रत्येक पद को सरल करें.

और स्टेप्स के लिए टैप करें…

चरण 10.4.47.1

गुणन के क्रमविनिमेय गुण का उपयोग करके फिर से लिखें.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 1 \cdot 8 x^{9} x^{7} - x^{9} (42 x^{5}) - x^{9} (28 x^{6}) - x^{9} (60 x^{4}) - x^{9} (60 x^{3}) - x^{9} (36 x^{2}) - x^{9} (26 x) - x^{9} \cdot 4 + 2 x^{8} (8 x^{7}) + 2 x^{8} (42 x^{5}) + 2 x^{8} (28 x^{6}) + 2 x^{8} (60 x^{4}) + 2 x^{8} (60 x^{3}) + 2 x^{8} (36 x^{2}) + 2 x^{8} (26 x) + 2 x^{8} \cdot 4 - x^{7} (8 x^{7}) - x^{7} (42 x^{5}) - x^{7} (28 x^{6}) - x^{7} (60 x^{4}) - x^{7} (60 x^{3}) - x^{7} (36 x^{2}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.47.2

घातांक जोड़कर $x^{9}$ को $x^{7}$ से गुणा करें.

और स्टेप्स के लिए टैप करें…

चरण 10.4.47.2.1

$x^{7}$ ले जाएं.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 1 \cdot 8 (x^{7} x^{9}) - x^{9} (42 x^{5}) - x^{9} (28 x^{6}) - x^{9} (60 x^{4}) - x^{9} (60 x^{3}) - x^{9} (36 x^{2}) - x^{9} (26 x) - x^{9} \cdot 4 + 2 x^{8} (8 x^{7}) + 2 x^{8} (42 x^{5}) + 2 x^{8} (28 x^{6}) + 2 x^{8} (60 x^{4}) + 2 x^{8} (60 x^{3}) + 2 x^{8} (36 x^{2}) + 2 x^{8} (26 x) + 2 x^{8} \cdot 4 - x^{7} (8 x^{7}) - x^{7} (42 x^{5}) - x^{7} (28 x^{6}) - x^{7} (60 x^{4}) - x^{7} (60 x^{3}) - x^{7} (36 x^{2}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.47.2.2

घातांकों को संयोजित करने के लिए घात नियम $a^{m} a^{n} = a^{m + n}$ का उपयोग करें.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 1 \cdot 8 x^{7 + 9} - x^{9} (42 x^{5}) - x^{9} (28 x^{6}) - x^{9} (60 x^{4}) - x^{9} (60 x^{3}) - x^{9} (36 x^{2}) - x^{9} (26 x) - x^{9} \cdot 4 + 2 x^{8} (8 x^{7}) + 2 x^{8} (42 x^{5}) + 2 x^{8} (28 x^{6}) + 2 x^{8} (60 x^{4}) + 2 x^{8} (60 x^{3}) + 2 x^{8} (36 x^{2}) + 2 x^{8} (26 x) + 2 x^{8} \cdot 4 - x^{7} (8 x^{7}) - x^{7} (42 x^{5}) - x^{7} (28 x^{6}) - x^{7} (60 x^{4}) - x^{7} (60 x^{3}) - x^{7} (36 x^{2}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.47.2.3

$7$ और $9$ जोड़ें.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 1 \cdot 8 x^{16} - x^{9} (42 x^{5}) - x^{9} (28 x^{6}) - x^{9} (60 x^{4}) - x^{9} (60 x^{3}) - x^{9} (36 x^{2}) - x^{9} (26 x) - x^{9} \cdot 4 + 2 x^{8} (8 x^{7}) + 2 x^{8} (42 x^{5}) + 2 x^{8} (28 x^{6}) + 2 x^{8} (60 x^{4}) + 2 x^{8} (60 x^{3}) + 2 x^{8} (36 x^{2}) + 2 x^{8} (26 x) + 2 x^{8} \cdot 4 - x^{7} (8 x^{7}) - x^{7} (42 x^{5}) - x^{7} (28 x^{6}) - x^{7} (60 x^{4}) - x^{7} (60 x^{3}) - x^{7} (36 x^{2}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.47.3

$- 1$ को $8$ से गुणा करें.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - x^{9} (42 x^{5}) - x^{9} (28 x^{6}) - x^{9} (60 x^{4}) - x^{9} (60 x^{3}) - x^{9} (36 x^{2}) - x^{9} (26 x) - x^{9} \cdot 4 + 2 x^{8} (8 x^{7}) + 2 x^{8} (42 x^{5}) + 2 x^{8} (28 x^{6}) + 2 x^{8} (60 x^{4}) + 2 x^{8} (60 x^{3}) + 2 x^{8} (36 x^{2}) + 2 x^{8} (26 x) + 2 x^{8} \cdot 4 - x^{7} (8 x^{7}) - x^{7} (42 x^{5}) - x^{7} (28 x^{6}) - x^{7} (60 x^{4}) - x^{7} (60 x^{3}) - x^{7} (36 x^{2}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.47.4

गुणन के क्रमविनिमेय गुण का उपयोग करके फिर से लिखें.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 1 \cdot 42 x^{9} x^{5} - x^{9} (28 x^{6}) - x^{9} (60 x^{4}) - x^{9} (60 x^{3}) - x^{9} (36 x^{2}) - x^{9} (26 x) - x^{9} \cdot 4 + 2 x^{8} (8 x^{7}) + 2 x^{8} (42 x^{5}) + 2 x^{8} (28 x^{6}) + 2 x^{8} (60 x^{4}) + 2 x^{8} (60 x^{3}) + 2 x^{8} (36 x^{2}) + 2 x^{8} (26 x) + 2 x^{8} \cdot 4 - x^{7} (8 x^{7}) - x^{7} (42 x^{5}) - x^{7} (28 x^{6}) - x^{7} (60 x^{4}) - x^{7} (60 x^{3}) - x^{7} (36 x^{2}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.47.5

घातांक जोड़कर $x^{9}$ को $x^{5}$ से गुणा करें.

और स्टेप्स के लिए टैप करें…

चरण 10.4.47.5.1

$x^{5}$ ले जाएं.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 1 \cdot 42 (x^{5} x^{9}) - x^{9} (28 x^{6}) - x^{9} (60 x^{4}) - x^{9} (60 x^{3}) - x^{9} (36 x^{2}) - x^{9} (26 x) - x^{9} \cdot 4 + 2 x^{8} (8 x^{7}) + 2 x^{8} (42 x^{5}) + 2 x^{8} (28 x^{6}) + 2 x^{8} (60 x^{4}) + 2 x^{8} (60 x^{3}) + 2 x^{8} (36 x^{2}) + 2 x^{8} (26 x) + 2 x^{8} \cdot 4 - x^{7} (8 x^{7}) - x^{7} (42 x^{5}) - x^{7} (28 x^{6}) - x^{7} (60 x^{4}) - x^{7} (60 x^{3}) - x^{7} (36 x^{2}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.47.5.2

घातांकों को संयोजित करने के लिए घात नियम $a^{m} a^{n} = a^{m + n}$ का उपयोग करें.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 1 \cdot 42 x^{5 + 9} - x^{9} (28 x^{6}) - x^{9} (60 x^{4}) - x^{9} (60 x^{3}) - x^{9} (36 x^{2}) - x^{9} (26 x) - x^{9} \cdot 4 + 2 x^{8} (8 x^{7}) + 2 x^{8} (42 x^{5}) + 2 x^{8} (28 x^{6}) + 2 x^{8} (60 x^{4}) + 2 x^{8} (60 x^{3}) + 2 x^{8} (36 x^{2}) + 2 x^{8} (26 x) + 2 x^{8} \cdot 4 - x^{7} (8 x^{7}) - x^{7} (42 x^{5}) - x^{7} (28 x^{6}) - x^{7} (60 x^{4}) - x^{7} (60 x^{3}) - x^{7} (36 x^{2}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.47.5.3

$5$ और $9$ जोड़ें.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 1 \cdot 42 x^{14} - x^{9} (28 x^{6}) - x^{9} (60 x^{4}) - x^{9} (60 x^{3}) - x^{9} (36 x^{2}) - x^{9} (26 x) - x^{9} \cdot 4 + 2 x^{8} (8 x^{7}) + 2 x^{8} (42 x^{5}) + 2 x^{8} (28 x^{6}) + 2 x^{8} (60 x^{4}) + 2 x^{8} (60 x^{3}) + 2 x^{8} (36 x^{2}) + 2 x^{8} (26 x) + 2 x^{8} \cdot 4 - x^{7} (8 x^{7}) - x^{7} (42 x^{5}) - x^{7} (28 x^{6}) - x^{7} (60 x^{4}) - x^{7} (60 x^{3}) - x^{7} (36 x^{2}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.47.6

$- 1$ को $42$ से गुणा करें.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - x^{9} (28 x^{6}) - x^{9} (60 x^{4}) - x^{9} (60 x^{3}) - x^{9} (36 x^{2}) - x^{9} (26 x) - x^{9} \cdot 4 + 2 x^{8} (8 x^{7}) + 2 x^{8} (42 x^{5}) + 2 x^{8} (28 x^{6}) + 2 x^{8} (60 x^{4}) + 2 x^{8} (60 x^{3}) + 2 x^{8} (36 x^{2}) + 2 x^{8} (26 x) + 2 x^{8} \cdot 4 - x^{7} (8 x^{7}) - x^{7} (42 x^{5}) - x^{7} (28 x^{6}) - x^{7} (60 x^{4}) - x^{7} (60 x^{3}) - x^{7} (36 x^{2}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.47.7

गुणन के क्रमविनिमेय गुण का उपयोग करके फिर से लिखें.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 1 \cdot 28 x^{9} x^{6} - x^{9} (60 x^{4}) - x^{9} (60 x^{3}) - x^{9} (36 x^{2}) - x^{9} (26 x) - x^{9} \cdot 4 + 2 x^{8} (8 x^{7}) + 2 x^{8} (42 x^{5}) + 2 x^{8} (28 x^{6}) + 2 x^{8} (60 x^{4}) + 2 x^{8} (60 x^{3}) + 2 x^{8} (36 x^{2}) + 2 x^{8} (26 x) + 2 x^{8} \cdot 4 - x^{7} (8 x^{7}) - x^{7} (42 x^{5}) - x^{7} (28 x^{6}) - x^{7} (60 x^{4}) - x^{7} (60 x^{3}) - x^{7} (36 x^{2}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.47.8

घातांक जोड़कर $x^{9}$ को $x^{6}$ से गुणा करें.

और स्टेप्स के लिए टैप करें…

चरण 10.4.47.8.1

$x^{6}$ ले जाएं.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 1 \cdot 28 (x^{6} x^{9}) - x^{9} (60 x^{4}) - x^{9} (60 x^{3}) - x^{9} (36 x^{2}) - x^{9} (26 x) - x^{9} \cdot 4 + 2 x^{8} (8 x^{7}) + 2 x^{8} (42 x^{5}) + 2 x^{8} (28 x^{6}) + 2 x^{8} (60 x^{4}) + 2 x^{8} (60 x^{3}) + 2 x^{8} (36 x^{2}) + 2 x^{8} (26 x) + 2 x^{8} \cdot 4 - x^{7} (8 x^{7}) - x^{7} (42 x^{5}) - x^{7} (28 x^{6}) - x^{7} (60 x^{4}) - x^{7} (60 x^{3}) - x^{7} (36 x^{2}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.47.8.2

घातांकों को संयोजित करने के लिए घात नियम $a^{m} a^{n} = a^{m + n}$ का उपयोग करें.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 1 \cdot 28 x^{6 + 9} - x^{9} (60 x^{4}) - x^{9} (60 x^{3}) - x^{9} (36 x^{2}) - x^{9} (26 x) - x^{9} \cdot 4 + 2 x^{8} (8 x^{7}) + 2 x^{8} (42 x^{5}) + 2 x^{8} (28 x^{6}) + 2 x^{8} (60 x^{4}) + 2 x^{8} (60 x^{3}) + 2 x^{8} (36 x^{2}) + 2 x^{8} (26 x) + 2 x^{8} \cdot 4 - x^{7} (8 x^{7}) - x^{7} (42 x^{5}) - x^{7} (28 x^{6}) - x^{7} (60 x^{4}) - x^{7} (60 x^{3}) - x^{7} (36 x^{2}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.47.8.3

$6$ और $9$ जोड़ें.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 1 \cdot 28 x^{15} - x^{9} (60 x^{4}) - x^{9} (60 x^{3}) - x^{9} (36 x^{2}) - x^{9} (26 x) - x^{9} \cdot 4 + 2 x^{8} (8 x^{7}) + 2 x^{8} (42 x^{5}) + 2 x^{8} (28 x^{6}) + 2 x^{8} (60 x^{4}) + 2 x^{8} (60 x^{3}) + 2 x^{8} (36 x^{2}) + 2 x^{8} (26 x) + 2 x^{8} \cdot 4 - x^{7} (8 x^{7}) - x^{7} (42 x^{5}) - x^{7} (28 x^{6}) - x^{7} (60 x^{4}) - x^{7} (60 x^{3}) - x^{7} (36 x^{2}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.47.9

$- 1$ को $28$ से गुणा करें.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 28 x^{15} - x^{9} (60 x^{4}) - x^{9} (60 x^{3}) - x^{9} (36 x^{2}) - x^{9} (26 x) - x^{9} \cdot 4 + 2 x^{8} (8 x^{7}) + 2 x^{8} (42 x^{5}) + 2 x^{8} (28 x^{6}) + 2 x^{8} (60 x^{4}) + 2 x^{8} (60 x^{3}) + 2 x^{8} (36 x^{2}) + 2 x^{8} (26 x) + 2 x^{8} \cdot 4 - x^{7} (8 x^{7}) - x^{7} (42 x^{5}) - x^{7} (28 x^{6}) - x^{7} (60 x^{4}) - x^{7} (60 x^{3}) - x^{7} (36 x^{2}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.47.10

गुणन के क्रमविनिमेय गुण का उपयोग करके फिर से लिखें.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 28 x^{15} - 1 \cdot 60 x^{9} x^{4} - x^{9} (60 x^{3}) - x^{9} (36 x^{2}) - x^{9} (26 x) - x^{9} \cdot 4 + 2 x^{8} (8 x^{7}) + 2 x^{8} (42 x^{5}) + 2 x^{8} (28 x^{6}) + 2 x^{8} (60 x^{4}) + 2 x^{8} (60 x^{3}) + 2 x^{8} (36 x^{2}) + 2 x^{8} (26 x) + 2 x^{8} \cdot 4 - x^{7} (8 x^{7}) - x^{7} (42 x^{5}) - x^{7} (28 x^{6}) - x^{7} (60 x^{4}) - x^{7} (60 x^{3}) - x^{7} (36 x^{2}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.47.11

घातांक जोड़कर $x^{9}$ को $x^{4}$ से गुणा करें.

और स्टेप्स के लिए टैप करें…

चरण 10.4.47.11.1

$x^{4}$ ले जाएं.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 28 x^{15} - 1 \cdot 60 (x^{4} x^{9}) - x^{9} (60 x^{3}) - x^{9} (36 x^{2}) - x^{9} (26 x) - x^{9} \cdot 4 + 2 x^{8} (8 x^{7}) + 2 x^{8} (42 x^{5}) + 2 x^{8} (28 x^{6}) + 2 x^{8} (60 x^{4}) + 2 x^{8} (60 x^{3}) + 2 x^{8} (36 x^{2}) + 2 x^{8} (26 x) + 2 x^{8} \cdot 4 - x^{7} (8 x^{7}) - x^{7} (42 x^{5}) - x^{7} (28 x^{6}) - x^{7} (60 x^{4}) - x^{7} (60 x^{3}) - x^{7} (36 x^{2}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.47.11.2

घातांकों को संयोजित करने के लिए घात नियम $a^{m} a^{n} = a^{m + n}$ का उपयोग करें.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 28 x^{15} - 1 \cdot 60 x^{4 + 9} - x^{9} (60 x^{3}) - x^{9} (36 x^{2}) - x^{9} (26 x) - x^{9} \cdot 4 + 2 x^{8} (8 x^{7}) + 2 x^{8} (42 x^{5}) + 2 x^{8} (28 x^{6}) + 2 x^{8} (60 x^{4}) + 2 x^{8} (60 x^{3}) + 2 x^{8} (36 x^{2}) + 2 x^{8} (26 x) + 2 x^{8} \cdot 4 - x^{7} (8 x^{7}) - x^{7} (42 x^{5}) - x^{7} (28 x^{6}) - x^{7} (60 x^{4}) - x^{7} (60 x^{3}) - x^{7} (36 x^{2}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.47.11.3

$4$ और $9$ जोड़ें.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 28 x^{15} - 1 \cdot 60 x^{13} - x^{9} (60 x^{3}) - x^{9} (36 x^{2}) - x^{9} (26 x) - x^{9} \cdot 4 + 2 x^{8} (8 x^{7}) + 2 x^{8} (42 x^{5}) + 2 x^{8} (28 x^{6}) + 2 x^{8} (60 x^{4}) + 2 x^{8} (60 x^{3}) + 2 x^{8} (36 x^{2}) + 2 x^{8} (26 x) + 2 x^{8} \cdot 4 - x^{7} (8 x^{7}) - x^{7} (42 x^{5}) - x^{7} (28 x^{6}) - x^{7} (60 x^{4}) - x^{7} (60 x^{3}) - x^{7} (36 x^{2}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.47.12

$- 1$ को $60$ से गुणा करें.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 28 x^{15} - 60 x^{13} - x^{9} (60 x^{3}) - x^{9} (36 x^{2}) - x^{9} (26 x) - x^{9} \cdot 4 + 2 x^{8} (8 x^{7}) + 2 x^{8} (42 x^{5}) + 2 x^{8} (28 x^{6}) + 2 x^{8} (60 x^{4}) + 2 x^{8} (60 x^{3}) + 2 x^{8} (36 x^{2}) + 2 x^{8} (26 x) + 2 x^{8} \cdot 4 - x^{7} (8 x^{7}) - x^{7} (42 x^{5}) - x^{7} (28 x^{6}) - x^{7} (60 x^{4}) - x^{7} (60 x^{3}) - x^{7} (36 x^{2}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.47.13

गुणन के क्रमविनिमेय गुण का उपयोग करके फिर से लिखें.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 28 x^{15} - 60 x^{13} - 1 \cdot 60 x^{9} x^{3} - x^{9} (36 x^{2}) - x^{9} (26 x) - x^{9} \cdot 4 + 2 x^{8} (8 x^{7}) + 2 x^{8} (42 x^{5}) + 2 x^{8} (28 x^{6}) + 2 x^{8} (60 x^{4}) + 2 x^{8} (60 x^{3}) + 2 x^{8} (36 x^{2}) + 2 x^{8} (26 x) + 2 x^{8} \cdot 4 - x^{7} (8 x^{7}) - x^{7} (42 x^{5}) - x^{7} (28 x^{6}) - x^{7} (60 x^{4}) - x^{7} (60 x^{3}) - x^{7} (36 x^{2}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.47.14

घातांक जोड़कर $x^{9}$ को $x^{3}$ से गुणा करें.

और स्टेप्स के लिए टैप करें…

चरण 10.4.47.14.1

$x^{3}$ ले जाएं.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 28 x^{15} - 60 x^{13} - 1 \cdot 60 (x^{3} x^{9}) - x^{9} (36 x^{2}) - x^{9} (26 x) - x^{9} \cdot 4 + 2 x^{8} (8 x^{7}) + 2 x^{8} (42 x^{5}) + 2 x^{8} (28 x^{6}) + 2 x^{8} (60 x^{4}) + 2 x^{8} (60 x^{3}) + 2 x^{8} (36 x^{2}) + 2 x^{8} (26 x) + 2 x^{8} \cdot 4 - x^{7} (8 x^{7}) - x^{7} (42 x^{5}) - x^{7} (28 x^{6}) - x^{7} (60 x^{4}) - x^{7} (60 x^{3}) - x^{7} (36 x^{2}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.47.14.2

घातांकों को संयोजित करने के लिए घात नियम $a^{m} a^{n} = a^{m + n}$ का उपयोग करें.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 28 x^{15} - 60 x^{13} - 1 \cdot 60 x^{3 + 9} - x^{9} (36 x^{2}) - x^{9} (26 x) - x^{9} \cdot 4 + 2 x^{8} (8 x^{7}) + 2 x^{8} (42 x^{5}) + 2 x^{8} (28 x^{6}) + 2 x^{8} (60 x^{4}) + 2 x^{8} (60 x^{3}) + 2 x^{8} (36 x^{2}) + 2 x^{8} (26 x) + 2 x^{8} \cdot 4 - x^{7} (8 x^{7}) - x^{7} (42 x^{5}) - x^{7} (28 x^{6}) - x^{7} (60 x^{4}) - x^{7} (60 x^{3}) - x^{7} (36 x^{2}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.47.14.3

$3$ और $9$ जोड़ें.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 28 x^{15} - 60 x^{13} - 1 \cdot 60 x^{12} - x^{9} (36 x^{2}) - x^{9} (26 x) - x^{9} \cdot 4 + 2 x^{8} (8 x^{7}) + 2 x^{8} (42 x^{5}) + 2 x^{8} (28 x^{6}) + 2 x^{8} (60 x^{4}) + 2 x^{8} (60 x^{3}) + 2 x^{8} (36 x^{2}) + 2 x^{8} (26 x) + 2 x^{8} \cdot 4 - x^{7} (8 x^{7}) - x^{7} (42 x^{5}) - x^{7} (28 x^{6}) - x^{7} (60 x^{4}) - x^{7} (60 x^{3}) - x^{7} (36 x^{2}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.47.15

$- 1$ को $60$ से गुणा करें.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 28 x^{15} - 60 x^{13} - 60 x^{12} - x^{9} (36 x^{2}) - x^{9} (26 x) - x^{9} \cdot 4 + 2 x^{8} (8 x^{7}) + 2 x^{8} (42 x^{5}) + 2 x^{8} (28 x^{6}) + 2 x^{8} (60 x^{4}) + 2 x^{8} (60 x^{3}) + 2 x^{8} (36 x^{2}) + 2 x^{8} (26 x) + 2 x^{8} \cdot 4 - x^{7} (8 x^{7}) - x^{7} (42 x^{5}) - x^{7} (28 x^{6}) - x^{7} (60 x^{4}) - x^{7} (60 x^{3}) - x^{7} (36 x^{2}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.47.16

गुणन के क्रमविनिमेय गुण का उपयोग करके फिर से लिखें.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 28 x^{15} - 60 x^{13} - 60 x^{12} - 1 \cdot 36 x^{9} x^{2} - x^{9} (26 x) - x^{9} \cdot 4 + 2 x^{8} (8 x^{7}) + 2 x^{8} (42 x^{5}) + 2 x^{8} (28 x^{6}) + 2 x^{8} (60 x^{4}) + 2 x^{8} (60 x^{3}) + 2 x^{8} (36 x^{2}) + 2 x^{8} (26 x) + 2 x^{8} \cdot 4 - x^{7} (8 x^{7}) - x^{7} (42 x^{5}) - x^{7} (28 x^{6}) - x^{7} (60 x^{4}) - x^{7} (60 x^{3}) - x^{7} (36 x^{2}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.47.17

घातांक जोड़कर $x^{9}$ को $x^{2}$ से गुणा करें.

और स्टेप्स के लिए टैप करें…

चरण 10.4.47.17.1

$x^{2}$ ले जाएं.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 28 x^{15} - 60 x^{13} - 60 x^{12} - 1 \cdot 36 (x^{2} x^{9}) - x^{9} (26 x) - x^{9} \cdot 4 + 2 x^{8} (8 x^{7}) + 2 x^{8} (42 x^{5}) + 2 x^{8} (28 x^{6}) + 2 x^{8} (60 x^{4}) + 2 x^{8} (60 x^{3}) + 2 x^{8} (36 x^{2}) + 2 x^{8} (26 x) + 2 x^{8} \cdot 4 - x^{7} (8 x^{7}) - x^{7} (42 x^{5}) - x^{7} (28 x^{6}) - x^{7} (60 x^{4}) - x^{7} (60 x^{3}) - x^{7} (36 x^{2}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.47.17.2

घातांकों को संयोजित करने के लिए घात नियम $a^{m} a^{n} = a^{m + n}$ का उपयोग करें.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 28 x^{15} - 60 x^{13} - 60 x^{12} - 1 \cdot 36 x^{2 + 9} - x^{9} (26 x) - x^{9} \cdot 4 + 2 x^{8} (8 x^{7}) + 2 x^{8} (42 x^{5}) + 2 x^{8} (28 x^{6}) + 2 x^{8} (60 x^{4}) + 2 x^{8} (60 x^{3}) + 2 x^{8} (36 x^{2}) + 2 x^{8} (26 x) + 2 x^{8} \cdot 4 - x^{7} (8 x^{7}) - x^{7} (42 x^{5}) - x^{7} (28 x^{6}) - x^{7} (60 x^{4}) - x^{7} (60 x^{3}) - x^{7} (36 x^{2}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.47.17.3

$2$ और $9$ जोड़ें.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 28 x^{15} - 60 x^{13} - 60 x^{12} - 1 \cdot 36 x^{11} - x^{9} (26 x) - x^{9} \cdot 4 + 2 x^{8} (8 x^{7}) + 2 x^{8} (42 x^{5}) + 2 x^{8} (28 x^{6}) + 2 x^{8} (60 x^{4}) + 2 x^{8} (60 x^{3}) + 2 x^{8} (36 x^{2}) + 2 x^{8} (26 x) + 2 x^{8} \cdot 4 - x^{7} (8 x^{7}) - x^{7} (42 x^{5}) - x^{7} (28 x^{6}) - x^{7} (60 x^{4}) - x^{7} (60 x^{3}) - x^{7} (36 x^{2}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.47.18

$- 1$ को $36$ से गुणा करें.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 28 x^{15} - 60 x^{13} - 60 x^{12} - 36 x^{11} - x^{9} (26 x) - x^{9} \cdot 4 + 2 x^{8} (8 x^{7}) + 2 x^{8} (42 x^{5}) + 2 x^{8} (28 x^{6}) + 2 x^{8} (60 x^{4}) + 2 x^{8} (60 x^{3}) + 2 x^{8} (36 x^{2}) + 2 x^{8} (26 x) + 2 x^{8} \cdot 4 - x^{7} (8 x^{7}) - x^{7} (42 x^{5}) - x^{7} (28 x^{6}) - x^{7} (60 x^{4}) - x^{7} (60 x^{3}) - x^{7} (36 x^{2}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.47.19

गुणन के क्रमविनिमेय गुण का उपयोग करके फिर से लिखें.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 28 x^{15} - 60 x^{13} - 60 x^{12} - 36 x^{11} - 1 \cdot 26 x^{9} x - x^{9} \cdot 4 + 2 x^{8} (8 x^{7}) + 2 x^{8} (42 x^{5}) + 2 x^{8} (28 x^{6}) + 2 x^{8} (60 x^{4}) + 2 x^{8} (60 x^{3}) + 2 x^{8} (36 x^{2}) + 2 x^{8} (26 x) + 2 x^{8} \cdot 4 - x^{7} (8 x^{7}) - x^{7} (42 x^{5}) - x^{7} (28 x^{6}) - x^{7} (60 x^{4}) - x^{7} (60 x^{3}) - x^{7} (36 x^{2}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.47.20

घातांक जोड़कर $x^{9}$ को $x$ से गुणा करें.

और स्टेप्स के लिए टैप करें…

चरण 10.4.47.20.1

$x$ ले जाएं.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 28 x^{15} - 60 x^{13} - 60 x^{12} - 36 x^{11} - 1 \cdot 26 (x \cdot x^{9}) - x^{9} \cdot 4 + 2 x^{8} (8 x^{7}) + 2 x^{8} (42 x^{5}) + 2 x^{8} (28 x^{6}) + 2 x^{8} (60 x^{4}) + 2 x^{8} (60 x^{3}) + 2 x^{8} (36 x^{2}) + 2 x^{8} (26 x) + 2 x^{8} \cdot 4 - x^{7} (8 x^{7}) - x^{7} (42 x^{5}) - x^{7} (28 x^{6}) - x^{7} (60 x^{4}) - x^{7} (60 x^{3}) - x^{7} (36 x^{2}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.47.20.2

$x$ को $x^{9}$ से गुणा करें.

और स्टेप्स के लिए टैप करें…

चरण 10.4.47.20.2.1

$x$ को $1$ के घात तक बढ़ाएं.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 28 x^{15} - 60 x^{13} - 60 x^{12} - 36 x^{11} - 1 \cdot 26 (x^{1} x^{9}) - x^{9} \cdot 4 + 2 x^{8} (8 x^{7}) + 2 x^{8} (42 x^{5}) + 2 x^{8} (28 x^{6}) + 2 x^{8} (60 x^{4}) + 2 x^{8} (60 x^{3}) + 2 x^{8} (36 x^{2}) + 2 x^{8} (26 x) + 2 x^{8} \cdot 4 - x^{7} (8 x^{7}) - x^{7} (42 x^{5}) - x^{7} (28 x^{6}) - x^{7} (60 x^{4}) - x^{7} (60 x^{3}) - x^{7} (36 x^{2}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.47.20.2.2

घातांकों को संयोजित करने के लिए घात नियम $a^{m} a^{n} = a^{m + n}$ का उपयोग करें.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 28 x^{15} - 60 x^{13} - 60 x^{12} - 36 x^{11} - 1 \cdot 26 x^{1 + 9} - x^{9} \cdot 4 + 2 x^{8} (8 x^{7}) + 2 x^{8} (42 x^{5}) + 2 x^{8} (28 x^{6}) + 2 x^{8} (60 x^{4}) + 2 x^{8} (60 x^{3}) + 2 x^{8} (36 x^{2}) + 2 x^{8} (26 x) + 2 x^{8} \cdot 4 - x^{7} (8 x^{7}) - x^{7} (42 x^{5}) - x^{7} (28 x^{6}) - x^{7} (60 x^{4}) - x^{7} (60 x^{3}) - x^{7} (36 x^{2}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.47.20.3

$1$ और $9$ जोड़ें.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 28 x^{15} - 60 x^{13} - 60 x^{12} - 36 x^{11} - 1 \cdot 26 x^{10} - x^{9} \cdot 4 + 2 x^{8} (8 x^{7}) + 2 x^{8} (42 x^{5}) + 2 x^{8} (28 x^{6}) + 2 x^{8} (60 x^{4}) + 2 x^{8} (60 x^{3}) + 2 x^{8} (36 x^{2}) + 2 x^{8} (26 x) + 2 x^{8} \cdot 4 - x^{7} (8 x^{7}) - x^{7} (42 x^{5}) - x^{7} (28 x^{6}) - x^{7} (60 x^{4}) - x^{7} (60 x^{3}) - x^{7} (36 x^{2}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.47.21

$- 1$ को $26$ से गुणा करें.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 28 x^{15} - 60 x^{13} - 60 x^{12} - 36 x^{11} - 26 x^{10} - x^{9} \cdot 4 + 2 x^{8} (8 x^{7}) + 2 x^{8} (42 x^{5}) + 2 x^{8} (28 x^{6}) + 2 x^{8} (60 x^{4}) + 2 x^{8} (60 x^{3}) + 2 x^{8} (36 x^{2}) + 2 x^{8} (26 x) + 2 x^{8} \cdot 4 - x^{7} (8 x^{7}) - x^{7} (42 x^{5}) - x^{7} (28 x^{6}) - x^{7} (60 x^{4}) - x^{7} (60 x^{3}) - x^{7} (36 x^{2}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.47.22

$4$ को $- 1$ से गुणा करें.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 28 x^{15} - 60 x^{13} - 60 x^{12} - 36 x^{11} - 26 x^{10} - 4 x^{9} + 2 x^{8} (8 x^{7}) + 2 x^{8} (42 x^{5}) + 2 x^{8} (28 x^{6}) + 2 x^{8} (60 x^{4}) + 2 x^{8} (60 x^{3}) + 2 x^{8} (36 x^{2}) + 2 x^{8} (26 x) + 2 x^{8} \cdot 4 - x^{7} (8 x^{7}) - x^{7} (42 x^{5}) - x^{7} (28 x^{6}) - x^{7} (60 x^{4}) - x^{7} (60 x^{3}) - x^{7} (36 x^{2}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.47.23

गुणन के क्रमविनिमेय गुण का उपयोग करके फिर से लिखें.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 28 x^{15} - 60 x^{13} - 60 x^{12} - 36 x^{11} - 26 x^{10} - 4 x^{9} + 2 \cdot 8 x^{8} x^{7} + 2 x^{8} (42 x^{5}) + 2 x^{8} (28 x^{6}) + 2 x^{8} (60 x^{4}) + 2 x^{8} (60 x^{3}) + 2 x^{8} (36 x^{2}) + 2 x^{8} (26 x) + 2 x^{8} \cdot 4 - x^{7} (8 x^{7}) - x^{7} (42 x^{5}) - x^{7} (28 x^{6}) - x^{7} (60 x^{4}) - x^{7} (60 x^{3}) - x^{7} (36 x^{2}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.47.24

घातांक जोड़कर $x^{8}$ को $x^{7}$ से गुणा करें.

और स्टेप्स के लिए टैप करें…

चरण 10.4.47.24.1

$x^{7}$ ले जाएं.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 28 x^{15} - 60 x^{13} - 60 x^{12} - 36 x^{11} - 26 x^{10} - 4 x^{9} + 2 \cdot 8 (x^{7} x^{8}) + 2 x^{8} (42 x^{5}) + 2 x^{8} (28 x^{6}) + 2 x^{8} (60 x^{4}) + 2 x^{8} (60 x^{3}) + 2 x^{8} (36 x^{2}) + 2 x^{8} (26 x) + 2 x^{8} \cdot 4 - x^{7} (8 x^{7}) - x^{7} (42 x^{5}) - x^{7} (28 x^{6}) - x^{7} (60 x^{4}) - x^{7} (60 x^{3}) - x^{7} (36 x^{2}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.47.24.2

घातांकों को संयोजित करने के लिए घात नियम $a^{m} a^{n} = a^{m + n}$ का उपयोग करें.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 28 x^{15} - 60 x^{13} - 60 x^{12} - 36 x^{11} - 26 x^{10} - 4 x^{9} + 2 \cdot 8 x^{7 + 8} + 2 x^{8} (42 x^{5}) + 2 x^{8} (28 x^{6}) + 2 x^{8} (60 x^{4}) + 2 x^{8} (60 x^{3}) + 2 x^{8} (36 x^{2}) + 2 x^{8} (26 x) + 2 x^{8} \cdot 4 - x^{7} (8 x^{7}) - x^{7} (42 x^{5}) - x^{7} (28 x^{6}) - x^{7} (60 x^{4}) - x^{7} (60 x^{3}) - x^{7} (36 x^{2}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.47.24.3

$7$ और $8$ जोड़ें.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 28 x^{15} - 60 x^{13} - 60 x^{12} - 36 x^{11} - 26 x^{10} - 4 x^{9} + 2 \cdot 8 x^{15} + 2 x^{8} (42 x^{5}) + 2 x^{8} (28 x^{6}) + 2 x^{8} (60 x^{4}) + 2 x^{8} (60 x^{3}) + 2 x^{8} (36 x^{2}) + 2 x^{8} (26 x) + 2 x^{8} \cdot 4 - x^{7} (8 x^{7}) - x^{7} (42 x^{5}) - x^{7} (28 x^{6}) - x^{7} (60 x^{4}) - x^{7} (60 x^{3}) - x^{7} (36 x^{2}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.47.25

$2$ को $8$ से गुणा करें.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 28 x^{15} - 60 x^{13} - 60 x^{12} - 36 x^{11} - 26 x^{10} - 4 x^{9} + 16 x^{15} + 2 x^{8} (42 x^{5}) + 2 x^{8} (28 x^{6}) + 2 x^{8} (60 x^{4}) + 2 x^{8} (60 x^{3}) + 2 x^{8} (36 x^{2}) + 2 x^{8} (26 x) + 2 x^{8} \cdot 4 - x^{7} (8 x^{7}) - x^{7} (42 x^{5}) - x^{7} (28 x^{6}) - x^{7} (60 x^{4}) - x^{7} (60 x^{3}) - x^{7} (36 x^{2}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.47.26

गुणन के क्रमविनिमेय गुण का उपयोग करके फिर से लिखें.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 28 x^{15} - 60 x^{13} - 60 x^{12} - 36 x^{11} - 26 x^{10} - 4 x^{9} + 16 x^{15} + 2 \cdot 42 x^{8} x^{5} + 2 x^{8} (28 x^{6}) + 2 x^{8} (60 x^{4}) + 2 x^{8} (60 x^{3}) + 2 x^{8} (36 x^{2}) + 2 x^{8} (26 x) + 2 x^{8} \cdot 4 - x^{7} (8 x^{7}) - x^{7} (42 x^{5}) - x^{7} (28 x^{6}) - x^{7} (60 x^{4}) - x^{7} (60 x^{3}) - x^{7} (36 x^{2}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.47.27

घातांक जोड़कर $x^{8}$ को $x^{5}$ से गुणा करें.

और स्टेप्स के लिए टैप करें…

चरण 10.4.47.27.1

$x^{5}$ ले जाएं.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 28 x^{15} - 60 x^{13} - 60 x^{12} - 36 x^{11} - 26 x^{10} - 4 x^{9} + 16 x^{15} + 2 \cdot 42 (x^{5} x^{8}) + 2 x^{8} (28 x^{6}) + 2 x^{8} (60 x^{4}) + 2 x^{8} (60 x^{3}) + 2 x^{8} (36 x^{2}) + 2 x^{8} (26 x) + 2 x^{8} \cdot 4 - x^{7} (8 x^{7}) - x^{7} (42 x^{5}) - x^{7} (28 x^{6}) - x^{7} (60 x^{4}) - x^{7} (60 x^{3}) - x^{7} (36 x^{2}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.47.27.2

घातांकों को संयोजित करने के लिए घात नियम $a^{m} a^{n} = a^{m + n}$ का उपयोग करें.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 28 x^{15} - 60 x^{13} - 60 x^{12} - 36 x^{11} - 26 x^{10} - 4 x^{9} + 16 x^{15} + 2 \cdot 42 x^{5 + 8} + 2 x^{8} (28 x^{6}) + 2 x^{8} (60 x^{4}) + 2 x^{8} (60 x^{3}) + 2 x^{8} (36 x^{2}) + 2 x^{8} (26 x) + 2 x^{8} \cdot 4 - x^{7} (8 x^{7}) - x^{7} (42 x^{5}) - x^{7} (28 x^{6}) - x^{7} (60 x^{4}) - x^{7} (60 x^{3}) - x^{7} (36 x^{2}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.47.27.3

$5$ और $8$ जोड़ें.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 28 x^{15} - 60 x^{13} - 60 x^{12} - 36 x^{11} - 26 x^{10} - 4 x^{9} + 16 x^{15} + 2 \cdot 42 x^{13} + 2 x^{8} (28 x^{6}) + 2 x^{8} (60 x^{4}) + 2 x^{8} (60 x^{3}) + 2 x^{8} (36 x^{2}) + 2 x^{8} (26 x) + 2 x^{8} \cdot 4 - x^{7} (8 x^{7}) - x^{7} (42 x^{5}) - x^{7} (28 x^{6}) - x^{7} (60 x^{4}) - x^{7} (60 x^{3}) - x^{7} (36 x^{2}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.47.28

$2$ को $42$ से गुणा करें.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 28 x^{15} - 60 x^{13} - 60 x^{12} - 36 x^{11} - 26 x^{10} - 4 x^{9} + 16 x^{15} + 84 x^{13} + 2 x^{8} (28 x^{6}) + 2 x^{8} (60 x^{4}) + 2 x^{8} (60 x^{3}) + 2 x^{8} (36 x^{2}) + 2 x^{8} (26 x) + 2 x^{8} \cdot 4 - x^{7} (8 x^{7}) - x^{7} (42 x^{5}) - x^{7} (28 x^{6}) - x^{7} (60 x^{4}) - x^{7} (60 x^{3}) - x^{7} (36 x^{2}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.47.29

गुणन के क्रमविनिमेय गुण का उपयोग करके फिर से लिखें.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 28 x^{15} - 60 x^{13} - 60 x^{12} - 36 x^{11} - 26 x^{10} - 4 x^{9} + 16 x^{15} + 84 x^{13} + 2 \cdot 28 x^{8} x^{6} + 2 x^{8} (60 x^{4}) + 2 x^{8} (60 x^{3}) + 2 x^{8} (36 x^{2}) + 2 x^{8} (26 x) + 2 x^{8} \cdot 4 - x^{7} (8 x^{7}) - x^{7} (42 x^{5}) - x^{7} (28 x^{6}) - x^{7} (60 x^{4}) - x^{7} (60 x^{3}) - x^{7} (36 x^{2}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.47.30

घातांक जोड़कर $x^{8}$ को $x^{6}$ से गुणा करें.

और स्टेप्स के लिए टैप करें…

चरण 10.4.47.30.1

$x^{6}$ ले जाएं.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 28 x^{15} - 60 x^{13} - 60 x^{12} - 36 x^{11} - 26 x^{10} - 4 x^{9} + 16 x^{15} + 84 x^{13} + 2 \cdot 28 (x^{6} x^{8}) + 2 x^{8} (60 x^{4}) + 2 x^{8} (60 x^{3}) + 2 x^{8} (36 x^{2}) + 2 x^{8} (26 x) + 2 x^{8} \cdot 4 - x^{7} (8 x^{7}) - x^{7} (42 x^{5}) - x^{7} (28 x^{6}) - x^{7} (60 x^{4}) - x^{7} (60 x^{3}) - x^{7} (36 x^{2}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.47.30.2

घातांकों को संयोजित करने के लिए घात नियम $a^{m} a^{n} = a^{m + n}$ का उपयोग करें.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 28 x^{15} - 60 x^{13} - 60 x^{12} - 36 x^{11} - 26 x^{10} - 4 x^{9} + 16 x^{15} + 84 x^{13} + 2 \cdot 28 x^{6 + 8} + 2 x^{8} (60 x^{4}) + 2 x^{8} (60 x^{3}) + 2 x^{8} (36 x^{2}) + 2 x^{8} (26 x) + 2 x^{8} \cdot 4 - x^{7} (8 x^{7}) - x^{7} (42 x^{5}) - x^{7} (28 x^{6}) - x^{7} (60 x^{4}) - x^{7} (60 x^{3}) - x^{7} (36 x^{2}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.47.30.3

$6$ और $8$ जोड़ें.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 28 x^{15} - 60 x^{13} - 60 x^{12} - 36 x^{11} - 26 x^{10} - 4 x^{9} + 16 x^{15} + 84 x^{13} + 2 \cdot 28 x^{14} + 2 x^{8} (60 x^{4}) + 2 x^{8} (60 x^{3}) + 2 x^{8} (36 x^{2}) + 2 x^{8} (26 x) + 2 x^{8} \cdot 4 - x^{7} (8 x^{7}) - x^{7} (42 x^{5}) - x^{7} (28 x^{6}) - x^{7} (60 x^{4}) - x^{7} (60 x^{3}) - x^{7} (36 x^{2}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.47.31

$2$ को $28$ से गुणा करें.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 28 x^{15} - 60 x^{13} - 60 x^{12} - 36 x^{11} - 26 x^{10} - 4 x^{9} + 16 x^{15} + 84 x^{13} + 56 x^{14} + 2 x^{8} (60 x^{4}) + 2 x^{8} (60 x^{3}) + 2 x^{8} (36 x^{2}) + 2 x^{8} (26 x) + 2 x^{8} \cdot 4 - x^{7} (8 x^{7}) - x^{7} (42 x^{5}) - x^{7} (28 x^{6}) - x^{7} (60 x^{4}) - x^{7} (60 x^{3}) - x^{7} (36 x^{2}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.47.32

गुणन के क्रमविनिमेय गुण का उपयोग करके फिर से लिखें.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 28 x^{15} - 60 x^{13} - 60 x^{12} - 36 x^{11} - 26 x^{10} - 4 x^{9} + 16 x^{15} + 84 x^{13} + 56 x^{14} + 2 \cdot 60 x^{8} x^{4} + 2 x^{8} (60 x^{3}) + 2 x^{8} (36 x^{2}) + 2 x^{8} (26 x) + 2 x^{8} \cdot 4 - x^{7} (8 x^{7}) - x^{7} (42 x^{5}) - x^{7} (28 x^{6}) - x^{7} (60 x^{4}) - x^{7} (60 x^{3}) - x^{7} (36 x^{2}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.47.33

घातांक जोड़कर $x^{8}$ को $x^{4}$ से गुणा करें.

और स्टेप्स के लिए टैप करें…

चरण 10.4.47.33.1

$x^{4}$ ले जाएं.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 28 x^{15} - 60 x^{13} - 60 x^{12} - 36 x^{11} - 26 x^{10} - 4 x^{9} + 16 x^{15} + 84 x^{13} + 56 x^{14} + 2 \cdot 60 (x^{4} x^{8}) + 2 x^{8} (60 x^{3}) + 2 x^{8} (36 x^{2}) + 2 x^{8} (26 x) + 2 x^{8} \cdot 4 - x^{7} (8 x^{7}) - x^{7} (42 x^{5}) - x^{7} (28 x^{6}) - x^{7} (60 x^{4}) - x^{7} (60 x^{3}) - x^{7} (36 x^{2}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.47.33.2

घातांकों को संयोजित करने के लिए घात नियम $a^{m} a^{n} = a^{m + n}$ का उपयोग करें.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 28 x^{15} - 60 x^{13} - 60 x^{12} - 36 x^{11} - 26 x^{10} - 4 x^{9} + 16 x^{15} + 84 x^{13} + 56 x^{14} + 2 \cdot 60 x^{4 + 8} + 2 x^{8} (60 x^{3}) + 2 x^{8} (36 x^{2}) + 2 x^{8} (26 x) + 2 x^{8} \cdot 4 - x^{7} (8 x^{7}) - x^{7} (42 x^{5}) - x^{7} (28 x^{6}) - x^{7} (60 x^{4}) - x^{7} (60 x^{3}) - x^{7} (36 x^{2}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.47.33.3

$4$ और $8$ जोड़ें.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 28 x^{15} - 60 x^{13} - 60 x^{12} - 36 x^{11} - 26 x^{10} - 4 x^{9} + 16 x^{15} + 84 x^{13} + 56 x^{14} + 2 \cdot 60 x^{12} + 2 x^{8} (60 x^{3}) + 2 x^{8} (36 x^{2}) + 2 x^{8} (26 x) + 2 x^{8} \cdot 4 - x^{7} (8 x^{7}) - x^{7} (42 x^{5}) - x^{7} (28 x^{6}) - x^{7} (60 x^{4}) - x^{7} (60 x^{3}) - x^{7} (36 x^{2}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.47.34

$2$ को $60$ से गुणा करें.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 28 x^{15} - 60 x^{13} - 60 x^{12} - 36 x^{11} - 26 x^{10} - 4 x^{9} + 16 x^{15} + 84 x^{13} + 56 x^{14} + 120 x^{12} + 2 x^{8} (60 x^{3}) + 2 x^{8} (36 x^{2}) + 2 x^{8} (26 x) + 2 x^{8} \cdot 4 - x^{7} (8 x^{7}) - x^{7} (42 x^{5}) - x^{7} (28 x^{6}) - x^{7} (60 x^{4}) - x^{7} (60 x^{3}) - x^{7} (36 x^{2}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.47.35

गुणन के क्रमविनिमेय गुण का उपयोग करके फिर से लिखें.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 28 x^{15} - 60 x^{13} - 60 x^{12} - 36 x^{11} - 26 x^{10} - 4 x^{9} + 16 x^{15} + 84 x^{13} + 56 x^{14} + 120 x^{12} + 2 \cdot 60 x^{8} x^{3} + 2 x^{8} (36 x^{2}) + 2 x^{8} (26 x) + 2 x^{8} \cdot 4 - x^{7} (8 x^{7}) - x^{7} (42 x^{5}) - x^{7} (28 x^{6}) - x^{7} (60 x^{4}) - x^{7} (60 x^{3}) - x^{7} (36 x^{2}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.47.36

घातांक जोड़कर $x^{8}$ को $x^{3}$ से गुणा करें.

और स्टेप्स के लिए टैप करें…

चरण 10.4.47.36.1

$x^{3}$ ले जाएं.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 28 x^{15} - 60 x^{13} - 60 x^{12} - 36 x^{11} - 26 x^{10} - 4 x^{9} + 16 x^{15} + 84 x^{13} + 56 x^{14} + 120 x^{12} + 2 \cdot 60 (x^{3} x^{8}) + 2 x^{8} (36 x^{2}) + 2 x^{8} (26 x) + 2 x^{8} \cdot 4 - x^{7} (8 x^{7}) - x^{7} (42 x^{5}) - x^{7} (28 x^{6}) - x^{7} (60 x^{4}) - x^{7} (60 x^{3}) - x^{7} (36 x^{2}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.47.36.2

घातांकों को संयोजित करने के लिए घात नियम $a^{m} a^{n} = a^{m + n}$ का उपयोग करें.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 28 x^{15} - 60 x^{13} - 60 x^{12} - 36 x^{11} - 26 x^{10} - 4 x^{9} + 16 x^{15} + 84 x^{13} + 56 x^{14} + 120 x^{12} + 2 \cdot 60 x^{3 + 8} + 2 x^{8} (36 x^{2}) + 2 x^{8} (26 x) + 2 x^{8} \cdot 4 - x^{7} (8 x^{7}) - x^{7} (42 x^{5}) - x^{7} (28 x^{6}) - x^{7} (60 x^{4}) - x^{7} (60 x^{3}) - x^{7} (36 x^{2}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.47.36.3

$3$ और $8$ जोड़ें.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 28 x^{15} - 60 x^{13} - 60 x^{12} - 36 x^{11} - 26 x^{10} - 4 x^{9} + 16 x^{15} + 84 x^{13} + 56 x^{14} + 120 x^{12} + 2 \cdot 60 x^{11} + 2 x^{8} (36 x^{2}) + 2 x^{8} (26 x) + 2 x^{8} \cdot 4 - x^{7} (8 x^{7}) - x^{7} (42 x^{5}) - x^{7} (28 x^{6}) - x^{7} (60 x^{4}) - x^{7} (60 x^{3}) - x^{7} (36 x^{2}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.47.37

$2$ को $60$ से गुणा करें.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 28 x^{15} - 60 x^{13} - 60 x^{12} - 36 x^{11} - 26 x^{10} - 4 x^{9} + 16 x^{15} + 84 x^{13} + 56 x^{14} + 120 x^{12} + 120 x^{11} + 2 x^{8} (36 x^{2}) + 2 x^{8} (26 x) + 2 x^{8} \cdot 4 - x^{7} (8 x^{7}) - x^{7} (42 x^{5}) - x^{7} (28 x^{6}) - x^{7} (60 x^{4}) - x^{7} (60 x^{3}) - x^{7} (36 x^{2}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.47.38

गुणन के क्रमविनिमेय गुण का उपयोग करके फिर से लिखें.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 28 x^{15} - 60 x^{13} - 60 x^{12} - 36 x^{11} - 26 x^{10} - 4 x^{9} + 16 x^{15} + 84 x^{13} + 56 x^{14} + 120 x^{12} + 120 x^{11} + 2 \cdot 36 x^{8} x^{2} + 2 x^{8} (26 x) + 2 x^{8} \cdot 4 - x^{7} (8 x^{7}) - x^{7} (42 x^{5}) - x^{7} (28 x^{6}) - x^{7} (60 x^{4}) - x^{7} (60 x^{3}) - x^{7} (36 x^{2}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.47.39

घातांक जोड़कर $x^{8}$ को $x^{2}$ से गुणा करें.

और स्टेप्स के लिए टैप करें…

चरण 10.4.47.39.1

$x^{2}$ ले जाएं.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 28 x^{15} - 60 x^{13} - 60 x^{12} - 36 x^{11} - 26 x^{10} - 4 x^{9} + 16 x^{15} + 84 x^{13} + 56 x^{14} + 120 x^{12} + 120 x^{11} + 2 \cdot 36 (x^{2} x^{8}) + 2 x^{8} (26 x) + 2 x^{8} \cdot 4 - x^{7} (8 x^{7}) - x^{7} (42 x^{5}) - x^{7} (28 x^{6}) - x^{7} (60 x^{4}) - x^{7} (60 x^{3}) - x^{7} (36 x^{2}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.47.39.2

घातांकों को संयोजित करने के लिए घात नियम $a^{m} a^{n} = a^{m + n}$ का उपयोग करें.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 28 x^{15} - 60 x^{13} - 60 x^{12} - 36 x^{11} - 26 x^{10} - 4 x^{9} + 16 x^{15} + 84 x^{13} + 56 x^{14} + 120 x^{12} + 120 x^{11} + 2 \cdot 36 x^{2 + 8} + 2 x^{8} (26 x) + 2 x^{8} \cdot 4 - x^{7} (8 x^{7}) - x^{7} (42 x^{5}) - x^{7} (28 x^{6}) - x^{7} (60 x^{4}) - x^{7} (60 x^{3}) - x^{7} (36 x^{2}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.47.39.3

$2$ और $8$ जोड़ें.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 28 x^{15} - 60 x^{13} - 60 x^{12} - 36 x^{11} - 26 x^{10} - 4 x^{9} + 16 x^{15} + 84 x^{13} + 56 x^{14} + 120 x^{12} + 120 x^{11} + 2 \cdot 36 x^{10} + 2 x^{8} (26 x) + 2 x^{8} \cdot 4 - x^{7} (8 x^{7}) - x^{7} (42 x^{5}) - x^{7} (28 x^{6}) - x^{7} (60 x^{4}) - x^{7} (60 x^{3}) - x^{7} (36 x^{2}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.47.40

$2$ को $36$ से गुणा करें.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 28 x^{15} - 60 x^{13} - 60 x^{12} - 36 x^{11} - 26 x^{10} - 4 x^{9} + 16 x^{15} + 84 x^{13} + 56 x^{14} + 120 x^{12} + 120 x^{11} + 72 x^{10} + 2 x^{8} (26 x) + 2 x^{8} \cdot 4 - x^{7} (8 x^{7}) - x^{7} (42 x^{5}) - x^{7} (28 x^{6}) - x^{7} (60 x^{4}) - x^{7} (60 x^{3}) - x^{7} (36 x^{2}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.47.41

गुणन के क्रमविनिमेय गुण का उपयोग करके फिर से लिखें.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 28 x^{15} - 60 x^{13} - 60 x^{12} - 36 x^{11} - 26 x^{10} - 4 x^{9} + 16 x^{15} + 84 x^{13} + 56 x^{14} + 120 x^{12} + 120 x^{11} + 72 x^{10} + 2 \cdot 26 x^{8} x + 2 x^{8} \cdot 4 - x^{7} (8 x^{7}) - x^{7} (42 x^{5}) - x^{7} (28 x^{6}) - x^{7} (60 x^{4}) - x^{7} (60 x^{3}) - x^{7} (36 x^{2}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.47.42

घातांक जोड़कर $x^{8}$ को $x$ से गुणा करें.

और स्टेप्स के लिए टैप करें…

चरण 10.4.47.42.1

$x$ ले जाएं.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 28 x^{15} - 60 x^{13} - 60 x^{12} - 36 x^{11} - 26 x^{10} - 4 x^{9} + 16 x^{15} + 84 x^{13} + 56 x^{14} + 120 x^{12} + 120 x^{11} + 72 x^{10} + 2 \cdot 26 (x \cdot x^{8}) + 2 x^{8} \cdot 4 - x^{7} (8 x^{7}) - x^{7} (42 x^{5}) - x^{7} (28 x^{6}) - x^{7} (60 x^{4}) - x^{7} (60 x^{3}) - x^{7} (36 x^{2}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.47.42.2

$x$ को $x^{8}$ से गुणा करें.

और स्टेप्स के लिए टैप करें…

चरण 10.4.47.42.2.1

$x$ को $1$ के घात तक बढ़ाएं.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 28 x^{15} - 60 x^{13} - 60 x^{12} - 36 x^{11} - 26 x^{10} - 4 x^{9} + 16 x^{15} + 84 x^{13} + 56 x^{14} + 120 x^{12} + 120 x^{11} + 72 x^{10} + 2 \cdot 26 (x^{1} x^{8}) + 2 x^{8} \cdot 4 - x^{7} (8 x^{7}) - x^{7} (42 x^{5}) - x^{7} (28 x^{6}) - x^{7} (60 x^{4}) - x^{7} (60 x^{3}) - x^{7} (36 x^{2}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.47.42.2.2

घातांकों को संयोजित करने के लिए घात नियम $a^{m} a^{n} = a^{m + n}$ का उपयोग करें.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 28 x^{15} - 60 x^{13} - 60 x^{12} - 36 x^{11} - 26 x^{10} - 4 x^{9} + 16 x^{15} + 84 x^{13} + 56 x^{14} + 120 x^{12} + 120 x^{11} + 72 x^{10} + 2 \cdot 26 x^{1 + 8} + 2 x^{8} \cdot 4 - x^{7} (8 x^{7}) - x^{7} (42 x^{5}) - x^{7} (28 x^{6}) - x^{7} (60 x^{4}) - x^{7} (60 x^{3}) - x^{7} (36 x^{2}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.47.42.3

$1$ और $8$ जोड़ें.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 28 x^{15} - 60 x^{13} - 60 x^{12} - 36 x^{11} - 26 x^{10} - 4 x^{9} + 16 x^{15} + 84 x^{13} + 56 x^{14} + 120 x^{12} + 120 x^{11} + 72 x^{10} + 2 \cdot 26 x^{9} + 2 x^{8} \cdot 4 - x^{7} (8 x^{7}) - x^{7} (42 x^{5}) - x^{7} (28 x^{6}) - x^{7} (60 x^{4}) - x^{7} (60 x^{3}) - x^{7} (36 x^{2}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.47.43

$2$ को $26$ से गुणा करें.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 28 x^{15} - 60 x^{13} - 60 x^{12} - 36 x^{11} - 26 x^{10} - 4 x^{9} + 16 x^{15} + 84 x^{13} + 56 x^{14} + 120 x^{12} + 120 x^{11} + 72 x^{10} + 52 x^{9} + 2 x^{8} \cdot 4 - x^{7} (8 x^{7}) - x^{7} (42 x^{5}) - x^{7} (28 x^{6}) - x^{7} (60 x^{4}) - x^{7} (60 x^{3}) - x^{7} (36 x^{2}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.47.44

$4$ को $2$ से गुणा करें.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 28 x^{15} - 60 x^{13} - 60 x^{12} - 36 x^{11} - 26 x^{10} - 4 x^{9} + 16 x^{15} + 84 x^{13} + 56 x^{14} + 120 x^{12} + 120 x^{11} + 72 x^{10} + 52 x^{9} + 8 x^{8} - x^{7} (8 x^{7}) - x^{7} (42 x^{5}) - x^{7} (28 x^{6}) - x^{7} (60 x^{4}) - x^{7} (60 x^{3}) - x^{7} (36 x^{2}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.47.45

गुणन के क्रमविनिमेय गुण का उपयोग करके फिर से लिखें.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 28 x^{15} - 60 x^{13} - 60 x^{12} - 36 x^{11} - 26 x^{10} - 4 x^{9} + 16 x^{15} + 84 x^{13} + 56 x^{14} + 120 x^{12} + 120 x^{11} + 72 x^{10} + 52 x^{9} + 8 x^{8} - 1 \cdot 8 x^{7} x^{7} - x^{7} (42 x^{5}) - x^{7} (28 x^{6}) - x^{7} (60 x^{4}) - x^{7} (60 x^{3}) - x^{7} (36 x^{2}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.47.46

घातांक जोड़कर $x^{7}$ को $x^{7}$ से गुणा करें.

और स्टेप्स के लिए टैप करें…

चरण 10.4.47.46.1

$x^{7}$ ले जाएं.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 28 x^{15} - 60 x^{13} - 60 x^{12} - 36 x^{11} - 26 x^{10} - 4 x^{9} + 16 x^{15} + 84 x^{13} + 56 x^{14} + 120 x^{12} + 120 x^{11} + 72 x^{10} + 52 x^{9} + 8 x^{8} - 1 \cdot 8 (x^{7} x^{7}) - x^{7} (42 x^{5}) - x^{7} (28 x^{6}) - x^{7} (60 x^{4}) - x^{7} (60 x^{3}) - x^{7} (36 x^{2}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.47.46.2

घातांकों को संयोजित करने के लिए घात नियम $a^{m} a^{n} = a^{m + n}$ का उपयोग करें.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 28 x^{15} - 60 x^{13} - 60 x^{12} - 36 x^{11} - 26 x^{10} - 4 x^{9} + 16 x^{15} + 84 x^{13} + 56 x^{14} + 120 x^{12} + 120 x^{11} + 72 x^{10} + 52 x^{9} + 8 x^{8} - 1 \cdot 8 x^{7 + 7} - x^{7} (42 x^{5}) - x^{7} (28 x^{6}) - x^{7} (60 x^{4}) - x^{7} (60 x^{3}) - x^{7} (36 x^{2}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.47.46.3

$7$ और $7$ जोड़ें.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 28 x^{15} - 60 x^{13} - 60 x^{12} - 36 x^{11} - 26 x^{10} - 4 x^{9} + 16 x^{15} + 84 x^{13} + 56 x^{14} + 120 x^{12} + 120 x^{11} + 72 x^{10} + 52 x^{9} + 8 x^{8} - 1 \cdot 8 x^{14} - x^{7} (42 x^{5}) - x^{7} (28 x^{6}) - x^{7} (60 x^{4}) - x^{7} (60 x^{3}) - x^{7} (36 x^{2}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.47.47

$- 1$ को $8$ से गुणा करें.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 28 x^{15} - 60 x^{13} - 60 x^{12} - 36 x^{11} - 26 x^{10} - 4 x^{9} + 16 x^{15} + 84 x^{13} + 56 x^{14} + 120 x^{12} + 120 x^{11} + 72 x^{10} + 52 x^{9} + 8 x^{8} - 8 x^{14} - x^{7} (42 x^{5}) - x^{7} (28 x^{6}) - x^{7} (60 x^{4}) - x^{7} (60 x^{3}) - x^{7} (36 x^{2}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.47.48

गुणन के क्रमविनिमेय गुण का उपयोग करके फिर से लिखें.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 28 x^{15} - 60 x^{13} - 60 x^{12} - 36 x^{11} - 26 x^{10} - 4 x^{9} + 16 x^{15} + 84 x^{13} + 56 x^{14} + 120 x^{12} + 120 x^{11} + 72 x^{10} + 52 x^{9} + 8 x^{8} - 8 x^{14} - 1 \cdot 42 x^{7} x^{5} - x^{7} (28 x^{6}) - x^{7} (60 x^{4}) - x^{7} (60 x^{3}) - x^{7} (36 x^{2}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.47.49

घातांक जोड़कर $x^{7}$ को $x^{5}$ से गुणा करें.

और स्टेप्स के लिए टैप करें…

चरण 10.4.47.49.1

$x^{5}$ ले जाएं.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 28 x^{15} - 60 x^{13} - 60 x^{12} - 36 x^{11} - 26 x^{10} - 4 x^{9} + 16 x^{15} + 84 x^{13} + 56 x^{14} + 120 x^{12} + 120 x^{11} + 72 x^{10} + 52 x^{9} + 8 x^{8} - 8 x^{14} - 1 \cdot 42 (x^{5} x^{7}) - x^{7} (28 x^{6}) - x^{7} (60 x^{4}) - x^{7} (60 x^{3}) - x^{7} (36 x^{2}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.47.49.2

घातांकों को संयोजित करने के लिए घात नियम $a^{m} a^{n} = a^{m + n}$ का उपयोग करें.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 28 x^{15} - 60 x^{13} - 60 x^{12} - 36 x^{11} - 26 x^{10} - 4 x^{9} + 16 x^{15} + 84 x^{13} + 56 x^{14} + 120 x^{12} + 120 x^{11} + 72 x^{10} + 52 x^{9} + 8 x^{8} - 8 x^{14} - 1 \cdot 42 x^{5 + 7} - x^{7} (28 x^{6}) - x^{7} (60 x^{4}) - x^{7} (60 x^{3}) - x^{7} (36 x^{2}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.47.49.3

$5$ और $7$ जोड़ें.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 28 x^{15} - 60 x^{13} - 60 x^{12} - 36 x^{11} - 26 x^{10} - 4 x^{9} + 16 x^{15} + 84 x^{13} + 56 x^{14} + 120 x^{12} + 120 x^{11} + 72 x^{10} + 52 x^{9} + 8 x^{8} - 8 x^{14} - 1 \cdot 42 x^{12} - x^{7} (28 x^{6}) - x^{7} (60 x^{4}) - x^{7} (60 x^{3}) - x^{7} (36 x^{2}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.47.50

$- 1$ को $42$ से गुणा करें.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 28 x^{15} - 60 x^{13} - 60 x^{12} - 36 x^{11} - 26 x^{10} - 4 x^{9} + 16 x^{15} + 84 x^{13} + 56 x^{14} + 120 x^{12} + 120 x^{11} + 72 x^{10} + 52 x^{9} + 8 x^{8} - 8 x^{14} - 42 x^{12} - x^{7} (28 x^{6}) - x^{7} (60 x^{4}) - x^{7} (60 x^{3}) - x^{7} (36 x^{2}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.47.51

गुणन के क्रमविनिमेय गुण का उपयोग करके फिर से लिखें.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 28 x^{15} - 60 x^{13} - 60 x^{12} - 36 x^{11} - 26 x^{10} - 4 x^{9} + 16 x^{15} + 84 x^{13} + 56 x^{14} + 120 x^{12} + 120 x^{11} + 72 x^{10} + 52 x^{9} + 8 x^{8} - 8 x^{14} - 42 x^{12} - 1 \cdot 28 x^{7} x^{6} - x^{7} (60 x^{4}) - x^{7} (60 x^{3}) - x^{7} (36 x^{2}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.47.52

घातांक जोड़कर $x^{7}$ को $x^{6}$ से गुणा करें.

और स्टेप्स के लिए टैप करें…

चरण 10.4.47.52.1

$x^{6}$ ले जाएं.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 28 x^{15} - 60 x^{13} - 60 x^{12} - 36 x^{11} - 26 x^{10} - 4 x^{9} + 16 x^{15} + 84 x^{13} + 56 x^{14} + 120 x^{12} + 120 x^{11} + 72 x^{10} + 52 x^{9} + 8 x^{8} - 8 x^{14} - 42 x^{12} - 1 \cdot 28 (x^{6} x^{7}) - x^{7} (60 x^{4}) - x^{7} (60 x^{3}) - x^{7} (36 x^{2}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.47.52.2

घातांकों को संयोजित करने के लिए घात नियम $a^{m} a^{n} = a^{m + n}$ का उपयोग करें.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 28 x^{15} - 60 x^{13} - 60 x^{12} - 36 x^{11} - 26 x^{10} - 4 x^{9} + 16 x^{15} + 84 x^{13} + 56 x^{14} + 120 x^{12} + 120 x^{11} + 72 x^{10} + 52 x^{9} + 8 x^{8} - 8 x^{14} - 42 x^{12} - 1 \cdot 28 x^{6 + 7} - x^{7} (60 x^{4}) - x^{7} (60 x^{3}) - x^{7} (36 x^{2}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.47.52.3

$6$ और $7$ जोड़ें.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 28 x^{15} - 60 x^{13} - 60 x^{12} - 36 x^{11} - 26 x^{10} - 4 x^{9} + 16 x^{15} + 84 x^{13} + 56 x^{14} + 120 x^{12} + 120 x^{11} + 72 x^{10} + 52 x^{9} + 8 x^{8} - 8 x^{14} - 42 x^{12} - 1 \cdot 28 x^{13} - x^{7} (60 x^{4}) - x^{7} (60 x^{3}) - x^{7} (36 x^{2}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.47.53

$- 1$ को $28$ से गुणा करें.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 28 x^{15} - 60 x^{13} - 60 x^{12} - 36 x^{11} - 26 x^{10} - 4 x^{9} + 16 x^{15} + 84 x^{13} + 56 x^{14} + 120 x^{12} + 120 x^{11} + 72 x^{10} + 52 x^{9} + 8 x^{8} - 8 x^{14} - 42 x^{12} - 28 x^{13} - x^{7} (60 x^{4}) - x^{7} (60 x^{3}) - x^{7} (36 x^{2}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.47.54

गुणन के क्रमविनिमेय गुण का उपयोग करके फिर से लिखें.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 28 x^{15} - 60 x^{13} - 60 x^{12} - 36 x^{11} - 26 x^{10} - 4 x^{9} + 16 x^{15} + 84 x^{13} + 56 x^{14} + 120 x^{12} + 120 x^{11} + 72 x^{10} + 52 x^{9} + 8 x^{8} - 8 x^{14} - 42 x^{12} - 28 x^{13} - 1 \cdot 60 x^{7} x^{4} - x^{7} (60 x^{3}) - x^{7} (36 x^{2}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.47.55

घातांक जोड़कर $x^{7}$ को $x^{4}$ से गुणा करें.

और स्टेप्स के लिए टैप करें…

चरण 10.4.47.55.1

$x^{4}$ ले जाएं.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 28 x^{15} - 60 x^{13} - 60 x^{12} - 36 x^{11} - 26 x^{10} - 4 x^{9} + 16 x^{15} + 84 x^{13} + 56 x^{14} + 120 x^{12} + 120 x^{11} + 72 x^{10} + 52 x^{9} + 8 x^{8} - 8 x^{14} - 42 x^{12} - 28 x^{13} - 1 \cdot 60 (x^{4} x^{7}) - x^{7} (60 x^{3}) - x^{7} (36 x^{2}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.47.55.2

घातांकों को संयोजित करने के लिए घात नियम $a^{m} a^{n} = a^{m + n}$ का उपयोग करें.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 28 x^{15} - 60 x^{13} - 60 x^{12} - 36 x^{11} - 26 x^{10} - 4 x^{9} + 16 x^{15} + 84 x^{13} + 56 x^{14} + 120 x^{12} + 120 x^{11} + 72 x^{10} + 52 x^{9} + 8 x^{8} - 8 x^{14} - 42 x^{12} - 28 x^{13} - 1 \cdot 60 x^{4 + 7} - x^{7} (60 x^{3}) - x^{7} (36 x^{2}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.47.55.3

$4$ और $7$ जोड़ें.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 28 x^{15} - 60 x^{13} - 60 x^{12} - 36 x^{11} - 26 x^{10} - 4 x^{9} + 16 x^{15} + 84 x^{13} + 56 x^{14} + 120 x^{12} + 120 x^{11} + 72 x^{10} + 52 x^{9} + 8 x^{8} - 8 x^{14} - 42 x^{12} - 28 x^{13} - 1 \cdot 60 x^{11} - x^{7} (60 x^{3}) - x^{7} (36 x^{2}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.47.56

$- 1$ को $60$ से गुणा करें.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 28 x^{15} - 60 x^{13} - 60 x^{12} - 36 x^{11} - 26 x^{10} - 4 x^{9} + 16 x^{15} + 84 x^{13} + 56 x^{14} + 120 x^{12} + 120 x^{11} + 72 x^{10} + 52 x^{9} + 8 x^{8} - 8 x^{14} - 42 x^{12} - 28 x^{13} - 60 x^{11} - x^{7} (60 x^{3}) - x^{7} (36 x^{2}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.47.57

गुणन के क्रमविनिमेय गुण का उपयोग करके फिर से लिखें.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 28 x^{15} - 60 x^{13} - 60 x^{12} - 36 x^{11} - 26 x^{10} - 4 x^{9} + 16 x^{15} + 84 x^{13} + 56 x^{14} + 120 x^{12} + 120 x^{11} + 72 x^{10} + 52 x^{9} + 8 x^{8} - 8 x^{14} - 42 x^{12} - 28 x^{13} - 60 x^{11} - 1 \cdot 60 x^{7} x^{3} - x^{7} (36 x^{2}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.47.58

घातांक जोड़कर $x^{7}$ को $x^{3}$ से गुणा करें.

और स्टेप्स के लिए टैप करें…

चरण 10.4.47.58.1

$x^{3}$ ले जाएं.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 28 x^{15} - 60 x^{13} - 60 x^{12} - 36 x^{11} - 26 x^{10} - 4 x^{9} + 16 x^{15} + 84 x^{13} + 56 x^{14} + 120 x^{12} + 120 x^{11} + 72 x^{10} + 52 x^{9} + 8 x^{8} - 8 x^{14} - 42 x^{12} - 28 x^{13} - 60 x^{11} - 1 \cdot 60 (x^{3} x^{7}) - x^{7} (36 x^{2}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.47.58.2

घातांकों को संयोजित करने के लिए घात नियम $a^{m} a^{n} = a^{m + n}$ का उपयोग करें.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 28 x^{15} - 60 x^{13} - 60 x^{12} - 36 x^{11} - 26 x^{10} - 4 x^{9} + 16 x^{15} + 84 x^{13} + 56 x^{14} + 120 x^{12} + 120 x^{11} + 72 x^{10} + 52 x^{9} + 8 x^{8} - 8 x^{14} - 42 x^{12} - 28 x^{13} - 60 x^{11} - 1 \cdot 60 x^{3 + 7} - x^{7} (36 x^{2}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.47.58.3

$3$ और $7$ जोड़ें.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 28 x^{15} - 60 x^{13} - 60 x^{12} - 36 x^{11} - 26 x^{10} - 4 x^{9} + 16 x^{15} + 84 x^{13} + 56 x^{14} + 120 x^{12} + 120 x^{11} + 72 x^{10} + 52 x^{9} + 8 x^{8} - 8 x^{14} - 42 x^{12} - 28 x^{13} - 60 x^{11} - 1 \cdot 60 x^{10} - x^{7} (36 x^{2}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.47.59

$- 1$ को $60$ से गुणा करें.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 28 x^{15} - 60 x^{13} - 60 x^{12} - 36 x^{11} - 26 x^{10} - 4 x^{9} + 16 x^{15} + 84 x^{13} + 56 x^{14} + 120 x^{12} + 120 x^{11} + 72 x^{10} + 52 x^{9} + 8 x^{8} - 8 x^{14} - 42 x^{12} - 28 x^{13} - 60 x^{11} - 60 x^{10} - x^{7} (36 x^{2}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.47.60

गुणन के क्रमविनिमेय गुण का उपयोग करके फिर से लिखें.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 28 x^{15} - 60 x^{13} - 60 x^{12} - 36 x^{11} - 26 x^{10} - 4 x^{9} + 16 x^{15} + 84 x^{13} + 56 x^{14} + 120 x^{12} + 120 x^{11} + 72 x^{10} + 52 x^{9} + 8 x^{8} - 8 x^{14} - 42 x^{12} - 28 x^{13} - 60 x^{11} - 60 x^{10} - 1 \cdot 36 x^{7} x^{2} - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.47.61

घातांक जोड़कर $x^{7}$ को $x^{2}$ से गुणा करें.

और स्टेप्स के लिए टैप करें…

चरण 10.4.47.61.1

$x^{2}$ ले जाएं.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 28 x^{15} - 60 x^{13} - 60 x^{12} - 36 x^{11} - 26 x^{10} - 4 x^{9} + 16 x^{15} + 84 x^{13} + 56 x^{14} + 120 x^{12} + 120 x^{11} + 72 x^{10} + 52 x^{9} + 8 x^{8} - 8 x^{14} - 42 x^{12} - 28 x^{13} - 60 x^{11} - 60 x^{10} - 1 \cdot 36 (x^{2} x^{7}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.47.61.2

घातांकों को संयोजित करने के लिए घात नियम $a^{m} a^{n} = a^{m + n}$ का उपयोग करें.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 28 x^{15} - 60 x^{13} - 60 x^{12} - 36 x^{11} - 26 x^{10} - 4 x^{9} + 16 x^{15} + 84 x^{13} + 56 x^{14} + 120 x^{12} + 120 x^{11} + 72 x^{10} + 52 x^{9} + 8 x^{8} - 8 x^{14} - 42 x^{12} - 28 x^{13} - 60 x^{11} - 60 x^{10} - 1 \cdot 36 x^{2 + 7} - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.47.61.3

$2$ और $7$ जोड़ें.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 28 x^{15} - 60 x^{13} - 60 x^{12} - 36 x^{11} - 26 x^{10} - 4 x^{9} + 16 x^{15} + 84 x^{13} + 56 x^{14} + 120 x^{12} + 120 x^{11} + 72 x^{10} + 52 x^{9} + 8 x^{8} - 8 x^{14} - 42 x^{12} - 28 x^{13} - 60 x^{11} - 60 x^{10} - 1 \cdot 36 x^{9} - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.47.62

$- 1$ को $36$ से गुणा करें.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 28 x^{15} - 60 x^{13} - 60 x^{12} - 36 x^{11} - 26 x^{10} - 4 x^{9} + 16 x^{15} + 84 x^{13} + 56 x^{14} + 120 x^{12} + 120 x^{11} + 72 x^{10} + 52 x^{9} + 8 x^{8} - 8 x^{14} - 42 x^{12} - 28 x^{13} - 60 x^{11} - 60 x^{10} - 36 x^{9} - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.47.63

गुणन के क्रमविनिमेय गुण का उपयोग करके फिर से लिखें.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 28 x^{15} - 60 x^{13} - 60 x^{12} - 36 x^{11} - 26 x^{10} - 4 x^{9} + 16 x^{15} + 84 x^{13} + 56 x^{14} + 120 x^{12} + 120 x^{11} + 72 x^{10} + 52 x^{9} + 8 x^{8} - 8 x^{14} - 42 x^{12} - 28 x^{13} - 60 x^{11} - 60 x^{10} - 36 x^{9} - 1 \cdot 26 x^{7} x - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.47.64

घातांक जोड़कर $x^{7}$ को $x$ से गुणा करें.

और स्टेप्स के लिए टैप करें…

चरण 10.4.47.64.1

$x$ ले जाएं.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 28 x^{15} - 60 x^{13} - 60 x^{12} - 36 x^{11} - 26 x^{10} - 4 x^{9} + 16 x^{15} + 84 x^{13} + 56 x^{14} + 120 x^{12} + 120 x^{11} + 72 x^{10} + 52 x^{9} + 8 x^{8} - 8 x^{14} - 42 x^{12} - 28 x^{13} - 60 x^{11} - 60 x^{10} - 36 x^{9} - 1 \cdot 26 (x \cdot x^{7}) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.47.64.2

$x$ को $x^{7}$ से गुणा करें.

और स्टेप्स के लिए टैप करें…

चरण 10.4.47.64.2.1

$x$ को $1$ के घात तक बढ़ाएं.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 28 x^{15} - 60 x^{13} - 60 x^{12} - 36 x^{11} - 26 x^{10} - 4 x^{9} + 16 x^{15} + 84 x^{13} + 56 x^{14} + 120 x^{12} + 120 x^{11} + 72 x^{10} + 52 x^{9} + 8 x^{8} - 8 x^{14} - 42 x^{12} - 28 x^{13} - 60 x^{11} - 60 x^{10} - 36 x^{9} - 1 \cdot 26 (x^{1} x^{7}) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.47.64.2.2

घातांकों को संयोजित करने के लिए घात नियम $a^{m} a^{n} = a^{m + n}$ का उपयोग करें.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 28 x^{15} - 60 x^{13} - 60 x^{12} - 36 x^{11} - 26 x^{10} - 4 x^{9} + 16 x^{15} + 84 x^{13} + 56 x^{14} + 120 x^{12} + 120 x^{11} + 72 x^{10} + 52 x^{9} + 8 x^{8} - 8 x^{14} - 42 x^{12} - 28 x^{13} - 60 x^{11} - 60 x^{10} - 36 x^{9} - 1 \cdot 26 x^{1 + 7} - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.47.64.3

$1$ और $7$ जोड़ें.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 28 x^{15} - 60 x^{13} - 60 x^{12} - 36 x^{11} - 26 x^{10} - 4 x^{9} + 16 x^{15} + 84 x^{13} + 56 x^{14} + 120 x^{12} + 120 x^{11} + 72 x^{10} + 52 x^{9} + 8 x^{8} - 8 x^{14} - 42 x^{12} - 28 x^{13} - 60 x^{11} - 60 x^{10} - 36 x^{9} - 1 \cdot 26 x^{8} - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.47.65

$- 1$ को $26$ से गुणा करें.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 28 x^{15} - 60 x^{13} - 60 x^{12} - 36 x^{11} - 26 x^{10} - 4 x^{9} + 16 x^{15} + 84 x^{13} + 56 x^{14} + 120 x^{12} + 120 x^{11} + 72 x^{10} + 52 x^{9} + 8 x^{8} - 8 x^{14} - 42 x^{12} - 28 x^{13} - 60 x^{11} - 60 x^{10} - 36 x^{9} - 26 x^{8} - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.47.66

$4$ को $- 1$ से गुणा करें.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 28 x^{15} - 60 x^{13} - 60 x^{12} - 36 x^{11} - 26 x^{10} - 4 x^{9} + 16 x^{15} + 84 x^{13} + 56 x^{14} + 120 x^{12} + 120 x^{11} + 72 x^{10} + 52 x^{9} + 8 x^{8} - 8 x^{14} - 42 x^{12} - 28 x^{13} - 60 x^{11} - 60 x^{10} - 36 x^{9} - 26 x^{8} - 4 x^{7}}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.48

$- 42 x^{14}$ और $56 x^{14}$ जोड़ें.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} + 14 x^{14} - 28 x^{15} - 60 x^{13} - 60 x^{12} - 36 x^{11} - 26 x^{10} - 4 x^{9} + 16 x^{15} + 84 x^{13} + 120 x^{12} + 120 x^{11} + 72 x^{10} + 52 x^{9} + 8 x^{8} - 8 x^{14} - 42 x^{12} - 28 x^{13} - 60 x^{11} - 60 x^{10} - 36 x^{9} - 26 x^{8} - 4 x^{7}}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.49

$14 x^{14}$ में से $8 x^{14}$ घटाएं.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} + 6 x^{14} - 28 x^{15} - 60 x^{13} - 60 x^{12} - 36 x^{11} - 26 x^{10} - 4 x^{9} + 16 x^{15} + 84 x^{13} + 120 x^{12} + 120 x^{11} + 72 x^{10} + 52 x^{9} + 8 x^{8} - 42 x^{12} - 28 x^{13} - 60 x^{11} - 60 x^{10} - 36 x^{9} - 26 x^{8} - 4 x^{7}}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.50

$- 28 x^{15}$ और $16 x^{15}$ जोड़ें.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} + 6 x^{14} - 12 x^{15} - 60 x^{13} - 60 x^{12} - 36 x^{11} - 26 x^{10} - 4 x^{9} + 84 x^{13} + 120 x^{12} + 120 x^{11} + 72 x^{10} + 52 x^{9} + 8 x^{8} - 42 x^{12} - 28 x^{13} - 60 x^{11} - 60 x^{10} - 36 x^{9} - 26 x^{8} - 4 x^{7}}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.51

$- 60 x^{13}$ और $84 x^{13}$ जोड़ें.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} + 6 x^{14} - 12 x^{15} + 24 x^{13} - 60 x^{12} - 36 x^{11} - 26 x^{10} - 4 x^{9} + 120 x^{12} + 120 x^{11} + 72 x^{10} + 52 x^{9} + 8 x^{8} - 42 x^{12} - 28 x^{13} - 60 x^{11} - 60 x^{10} - 36 x^{9} - 26 x^{8} - 4 x^{7}}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.52

$24 x^{13}$ में से $28 x^{13}$ घटाएं.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} + 6 x^{14} - 12 x^{15} - 4 x^{13} - 60 x^{12} - 36 x^{11} - 26 x^{10} - 4 x^{9} + 120 x^{12} + 120 x^{11} + 72 x^{10} + 52 x^{9} + 8 x^{8} - 42 x^{12} - 60 x^{11} - 60 x^{10} - 36 x^{9} - 26 x^{8} - 4 x^{7}}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.53

$- 60 x^{12}$ और $120 x^{12}$ जोड़ें.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} + 6 x^{14} - 12 x^{15} - 4 x^{13} + 60 x^{12} - 36 x^{11} - 26 x^{10} - 4 x^{9} + 120 x^{11} + 72 x^{10} + 52 x^{9} + 8 x^{8} - 42 x^{12} - 60 x^{11} - 60 x^{10} - 36 x^{9} - 26 x^{8} - 4 x^{7}}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.54

$60 x^{12}$ में से $42 x^{12}$ घटाएं.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} + 6 x^{14} - 12 x^{15} - 4 x^{13} + 18 x^{12} - 36 x^{11} - 26 x^{10} - 4 x^{9} + 120 x^{11} + 72 x^{10} + 52 x^{9} + 8 x^{8} - 60 x^{11} - 60 x^{10} - 36 x^{9} - 26 x^{8} - 4 x^{7}}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.55

$- 36 x^{11}$ और $120 x^{11}$ जोड़ें.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} + 6 x^{14} - 12 x^{15} - 4 x^{13} + 18 x^{12} + 84 x^{11} - 26 x^{10} - 4 x^{9} + 72 x^{10} + 52 x^{9} + 8 x^{8} - 60 x^{11} - 60 x^{10} - 36 x^{9} - 26 x^{8} - 4 x^{7}}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.56

$84 x^{11}$ में से $60 x^{11}$ घटाएं.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} + 6 x^{14} - 12 x^{15} - 4 x^{13} + 18 x^{12} + 24 x^{11} - 26 x^{10} - 4 x^{9} + 72 x^{10} + 52 x^{9} + 8 x^{8} - 60 x^{10} - 36 x^{9} - 26 x^{8} - 4 x^{7}}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.57

$- 26 x^{10}$ और $72 x^{10}$ जोड़ें.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} + 6 x^{14} - 12 x^{15} - 4 x^{13} + 18 x^{12} + 24 x^{11} + 46 x^{10} - 4 x^{9} + 52 x^{9} + 8 x^{8} - 60 x^{10} - 36 x^{9} - 26 x^{8} - 4 x^{7}}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.58

$46 x^{10}$ में से $60 x^{10}$ घटाएं.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} + 6 x^{14} - 12 x^{15} - 4 x^{13} + 18 x^{12} + 24 x^{11} - 14 x^{10} - 4 x^{9} + 52 x^{9} + 8 x^{8} - 36 x^{9} - 26 x^{8} - 4 x^{7}}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.59

$- 4 x^{9}$ और $52 x^{9}$ जोड़ें.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} + 6 x^{14} - 12 x^{15} - 4 x^{13} + 18 x^{12} + 24 x^{11} - 14 x^{10} + 48 x^{9} + 8 x^{8} - 36 x^{9} - 26 x^{8} - 4 x^{7}}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.60

$48 x^{9}$ में से $36 x^{9}$ घटाएं.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} + 6 x^{14} - 12 x^{15} - 4 x^{13} + 18 x^{12} + 24 x^{11} - 14 x^{10} + 12 x^{9} + 8 x^{8} - 26 x^{8} - 4 x^{7}}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.61

$8 x^{8}$ में से $26 x^{8}$ घटाएं.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} + 6 x^{14} - 12 x^{15} - 4 x^{13} + 18 x^{12} + 24 x^{11} - 14 x^{10} + 12 x^{9} - 18 x^{8} - 4 x^{7}}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.62

$9 x^{16}$ में से $8 x^{16}$ घटाएं.

$\frac{x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + 6 x^{14} - 12 x^{15} - 4 x^{13} + 18 x^{12} + 24 x^{11} - 14 x^{10} + 12 x^{9} - 18 x^{8} - 4 x^{7}}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.63

$20 x^{15}$ में से $12 x^{15}$ घटाएं.

$\frac{x^{16} + 8 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + 6 x^{14} - 4 x^{13} + 18 x^{12} + 24 x^{11} - 14 x^{10} + 12 x^{9} - 18 x^{8} - 4 x^{7}}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.64

$6 x^{14}$ और $6 x^{14}$ जोड़ें.

$\frac{x^{16} + 8 x^{15} + 12 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 4 x^{13} + 18 x^{12} + 24 x^{11} - 14 x^{10} + 12 x^{9} - 18 x^{8} - 4 x^{7}}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.65

$24 x^{13}$ में से $4 x^{13}$ घटाएं.

$\frac{x^{16} + 8 x^{15} + 12 x^{14} + 20 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + 18 x^{12} + 24 x^{11} - 14 x^{10} + 12 x^{9} - 18 x^{8} - 4 x^{7}}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.66

$- 8 x^{12}$ और $18 x^{12}$ जोड़ें.

$\frac{x^{16} + 8 x^{15} + 12 x^{14} + 20 x^{13} + 10 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + 24 x^{11} - 14 x^{10} + 12 x^{9} - 18 x^{8} - 4 x^{7}}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.67

$- 48 x^{11}$ और $24 x^{11}$ जोड़ें.

$\frac{x^{16} + 8 x^{15} + 12 x^{14} + 20 x^{13} + 10 x^{12} - 24 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 14 x^{10} + 12 x^{9} - 18 x^{8} - 4 x^{7}}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.68

$30 x^{10}$ में से $14 x^{10}$ घटाएं.

$\frac{x^{16} + 8 x^{15} + 12 x^{14} + 20 x^{13} + 10 x^{12} - 24 x^{11} + 16 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + 12 x^{9} - 18 x^{8} - 4 x^{7}}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.69

$- 88 x^{9}$ और $12 x^{9}$ जोड़ें.

$\frac{x^{16} + 8 x^{15} + 12 x^{14} + 20 x^{13} + 10 x^{12} - 24 x^{11} + 16 x^{10} - 76 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 18 x^{8} - 4 x^{7}}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.70

$63 x^{8}$ में से $18 x^{8}$ घटाएं.

$\frac{x^{16} + 8 x^{15} + 12 x^{14} + 20 x^{13} + 10 x^{12} - 24 x^{11} + 16 x^{10} - 76 x^{9} + 45 x^{8} - 36 x^{7} + 28 x^{6} - 4 x^{7}}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.71

$- 36 x^{7}$ में से $4 x^{7}$ घटाएं.

$\frac{x^{16} + 8 x^{15} + 12 x^{14} + 20 x^{13} + 10 x^{12} - 24 x^{11} + 16 x^{10} - 76 x^{9} + 45 x^{8} - 40 x^{7} + 28 x^{6}}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.72

$x^{16} + 8 x^{15} + 12 x^{14} + 20 x^{13} + 10 x^{12} - 24 x^{11} + 16 x^{10} - 76 x^{9} + 45 x^{8} - 40 x^{7} + 28 x^{6}$ में से $x^{6}$ का गुणनखंड करें.

और स्टेप्स के लिए टैप करें…

चरण 10.4.72.1

$x^{16}$ में से $x^{6}$ का गुणनखंड करें.

$\frac{x^{6} x^{10} + 8 x^{15} + 12 x^{14} + 20 x^{13} + 10 x^{12} - 24 x^{11} + 16 x^{10} - 76 x^{9} + 45 x^{8} - 40 x^{7} + 28 x^{6}}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.72.2

$8 x^{15}$ में से $x^{6}$ का गुणनखंड करें.

$\frac{x^{6} x^{10} + x^{6} (8 x^{9}) + 12 x^{14} + 20 x^{13} + 10 x^{12} - 24 x^{11} + 16 x^{10} - 76 x^{9} + 45 x^{8} - 40 x^{7} + 28 x^{6}}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.72.3

$12 x^{14}$ में से $x^{6}$ का गुणनखंड करें.

$\frac{x^{6} x^{10} + x^{6} (8 x^{9}) + x^{6} (12 x^{8}) + 20 x^{13} + 10 x^{12} - 24 x^{11} + 16 x^{10} - 76 x^{9} + 45 x^{8} - 40 x^{7} + 28 x^{6}}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.72.4

$20 x^{13}$ में से $x^{6}$ का गुणनखंड करें.

$\frac{x^{6} x^{10} + x^{6} (8 x^{9}) + x^{6} (12 x^{8}) + x^{6} (20 x^{7}) + 10 x^{12} - 24 x^{11} + 16 x^{10} - 76 x^{9} + 45 x^{8} - 40 x^{7} + 28 x^{6}}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.72.5

$10 x^{12}$ में से $x^{6}$ का गुणनखंड करें.

$\frac{x^{6} x^{10} + x^{6} (8 x^{9}) + x^{6} (12 x^{8}) + x^{6} (20 x^{7}) + x^{6} (10 x^{6}) - 24 x^{11} + 16 x^{10} - 76 x^{9} + 45 x^{8} - 40 x^{7} + 28 x^{6}}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.72.6

$- 24 x^{11}$ में से $x^{6}$ का गुणनखंड करें.

$\frac{x^{6} x^{10} + x^{6} (8 x^{9}) + x^{6} (12 x^{8}) + x^{6} (20 x^{7}) + x^{6} (10 x^{6}) + x^{6} (- 24 x^{5}) + 16 x^{10} - 76 x^{9} + 45 x^{8} - 40 x^{7} + 28 x^{6}}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.72.7

$16 x^{10}$ में से $x^{6}$ का गुणनखंड करें.

$\frac{x^{6} x^{10} + x^{6} (8 x^{9}) + x^{6} (12 x^{8}) + x^{6} (20 x^{7}) + x^{6} (10 x^{6}) + x^{6} (- 24 x^{5}) + x^{6} (16 x^{4}) - 76 x^{9} + 45 x^{8} - 40 x^{7} + 28 x^{6}}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.72.8

$- 76 x^{9}$ में से $x^{6}$ का गुणनखंड करें.

$\frac{x^{6} x^{10} + x^{6} (8 x^{9}) + x^{6} (12 x^{8}) + x^{6} (20 x^{7}) + x^{6} (10 x^{6}) + x^{6} (- 24 x^{5}) + x^{6} (16 x^{4}) + x^{6} (- 76 x^{3}) + 45 x^{8} - 40 x^{7} + 28 x^{6}}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.72.9

$45 x^{8}$ में से $x^{6}$ का गुणनखंड करें.

$\frac{x^{6} x^{10} + x^{6} (8 x^{9}) + x^{6} (12 x^{8}) + x^{6} (20 x^{7}) + x^{6} (10 x^{6}) + x^{6} (- 24 x^{5}) + x^{6} (16 x^{4}) + x^{6} (- 76 x^{3}) + x^{6} (45 x^{2}) - 40 x^{7} + 28 x^{6}}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.72.10

$- 40 x^{7}$ में से $x^{6}$ का गुणनखंड करें.

$\frac{x^{6} x^{10} + x^{6} (8 x^{9}) + x^{6} (12 x^{8}) + x^{6} (20 x^{7}) + x^{6} (10 x^{6}) + x^{6} (- 24 x^{5}) + x^{6} (16 x^{4}) + x^{6} (- 76 x^{3}) + x^{6} (45 x^{2}) + x^{6} (- 40 x) + 28 x^{6}}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.72.11

$28 x^{6}$ में से $x^{6}$ का गुणनखंड करें.

$\frac{x^{6} x^{10} + x^{6} (8 x^{9}) + x^{6} (12 x^{8}) + x^{6} (20 x^{7}) + x^{6} (10 x^{6}) + x^{6} (- 24 x^{5}) + x^{6} (16 x^{4}) + x^{6} (- 76 x^{3}) + x^{6} (45 x^{2}) + x^{6} (- 40 x) + x^{6} \cdot 28}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.72.12

$x^{6} x^{10} + x^{6} (8 x^{9})$ में से $x^{6}$ का गुणनखंड करें.

$\frac{x^{6} (x^{10} + 8 x^{9}) + x^{6} (12 x^{8}) + x^{6} (20 x^{7}) + x^{6} (10 x^{6}) + x^{6} (- 24 x^{5}) + x^{6} (16 x^{4}) + x^{6} (- 76 x^{3}) + x^{6} (45 x^{2}) + x^{6} (- 40 x) + x^{6} \cdot 28}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.72.13

$x^{6} (x^{10} + 8 x^{9}) + x^{6} (12 x^{8})$ में से $x^{6}$ का गुणनखंड करें.

$\frac{x^{6} (x^{10} + 8 x^{9} + 12 x^{8}) + x^{6} (20 x^{7}) + x^{6} (10 x^{6}) + x^{6} (- 24 x^{5}) + x^{6} (16 x^{4}) + x^{6} (- 76 x^{3}) + x^{6} (45 x^{2}) + x^{6} (- 40 x) + x^{6} \cdot 28}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.72.14

$x^{6} (x^{10} + 8 x^{9} + 12 x^{8}) + x^{6} (20 x^{7})$ में से $x^{6}$ का गुणनखंड करें.

$\frac{x^{6} (x^{10} + 8 x^{9} + 12 x^{8} + 20 x^{7}) + x^{6} (10 x^{6}) + x^{6} (- 24 x^{5}) + x^{6} (16 x^{4}) + x^{6} (- 76 x^{3}) + x^{6} (45 x^{2}) + x^{6} (- 40 x) + x^{6} \cdot 28}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.72.15

$x^{6} (x^{10} + 8 x^{9} + 12 x^{8} + 20 x^{7}) + x^{6} (10 x^{6})$ में से $x^{6}$ का गुणनखंड करें.

$\frac{x^{6} (x^{10} + 8 x^{9} + 12 x^{8} + 20 x^{7} + 10 x^{6}) + x^{6} (- 24 x^{5}) + x^{6} (16 x^{4}) + x^{6} (- 76 x^{3}) + x^{6} (45 x^{2}) + x^{6} (- 40 x) + x^{6} \cdot 28}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.72.16

$x^{6} (x^{10} + 8 x^{9} + 12 x^{8} + 20 x^{7} + 10 x^{6}) + x^{6} (- 24 x^{5})$ में से $x^{6}$ का गुणनखंड करें.

$\frac{x^{6} (x^{10} + 8 x^{9} + 12 x^{8} + 20 x^{7} + 10 x^{6} - 24 x^{5}) + x^{6} (16 x^{4}) + x^{6} (- 76 x^{3}) + x^{6} (45 x^{2}) + x^{6} (- 40 x) + x^{6} \cdot 28}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.72.17

$x^{6} (x^{10} + 8 x^{9} + 12 x^{8} + 20 x^{7} + 10 x^{6} - 24 x^{5}) + x^{6} (16 x^{4})$ में से $x^{6}$ का गुणनखंड करें.

$\frac{x^{6} (x^{10} + 8 x^{9} + 12 x^{8} + 20 x^{7} + 10 x^{6} - 24 x^{5} + 16 x^{4}) + x^{6} (- 76 x^{3}) + x^{6} (45 x^{2}) + x^{6} (- 40 x) + x^{6} \cdot 28}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.72.18

$x^{6} (x^{10} + 8 x^{9} + 12 x^{8} + 20 x^{7} + 10 x^{6} - 24 x^{5} + 16 x^{4}) + x^{6} (- 76 x^{3})$ में से $x^{6}$ का गुणनखंड करें.

$\frac{x^{6} (x^{10} + 8 x^{9} + 12 x^{8} + 20 x^{7} + 10 x^{6} - 24 x^{5} + 16 x^{4} - 76 x^{3}) + x^{6} (45 x^{2}) + x^{6} (- 40 x) + x^{6} \cdot 28}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.72.19

$x^{6} (x^{10} + 8 x^{9} + 12 x^{8} + 20 x^{7} + 10 x^{6} - 24 x^{5} + 16 x^{4} - 76 x^{3}) + x^{6} (45 x^{2})$ में से $x^{6}$ का गुणनखंड करें.

$\frac{x^{6} (x^{10} + 8 x^{9} + 12 x^{8} + 20 x^{7} + 10 x^{6} - 24 x^{5} + 16 x^{4} - 76 x^{3} + 45 x^{2}) + x^{6} (- 40 x) + x^{6} \cdot 28}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.72.20

$x^{6} (x^{10} + 8 x^{9} + 12 x^{8} + 20 x^{7} + 10 x^{6} - 24 x^{5} + 16 x^{4} - 76 x^{3} + 45 x^{2}) + x^{6} (- 40 x)$ में से $x^{6}$ का गुणनखंड करें.

$\frac{x^{6} (x^{10} + 8 x^{9} + 12 x^{8} + 20 x^{7} + 10 x^{6} - 24 x^{5} + 16 x^{4} - 76 x^{3} + 45 x^{2} - 40 x) + x^{6} \cdot 28}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.4.72.21

$x^{6} (x^{10} + 8 x^{9} + 12 x^{8} + 20 x^{7} + 10 x^{6} - 24 x^{5} + 16 x^{4} - 76 x^{3} + 45 x^{2} - 40 x) + x^{6} \cdot 28$ में से $x^{6}$ का गुणनखंड करें.

$\frac{x^{6} (x^{10} + 8 x^{9} + 12 x^{8} + 20 x^{7} + 10 x^{6} - 24 x^{5} + 16 x^{4} - 76 x^{3} + 45 x^{2} - 40 x + 28)}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.5

पदों को मिलाएं.

और स्टेप्स के लिए टैप करें…

चरण 10.5.1

घातांक को ${({(x + 2)}^{2})}^{2}$ में गुणा करें.

और स्टेप्स के लिए टैप करें…

चरण 10.5.1.1

घात नियम लागू करें और घातांक गुणा करें, ${(a^{m})}^{n} = a^{m n}$ .

$\frac{x^{6} (x^{10} + 8 x^{9} + 12 x^{8} + 20 x^{7} + 10 x^{6} - 24 x^{5} + 16 x^{4} - 76 x^{3} + 45 x^{2} - 40 x + 28)}{{(x + 2)}^{2 \cdot 2} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.5.1.2

$2$ को $2$ से गुणा करें.

$\frac{x^{6} (x^{10} + 8 x^{9} + 12 x^{8} + 20 x^{7} + 10 x^{6} - 24 x^{5} + 16 x^{4} - 76 x^{3} + 45 x^{2} - 40 x + 28)}{{(x + 2)}^{4} {({(x^{2} + 1)}^{3})}^{2}}$

चरण 10.5.2

घातांक को ${({(x^{2} + 1)}^{3})}^{2}$ में गुणा करें.

और स्टेप्स के लिए टैप करें…

चरण 10.5.2.1

घात नियम लागू करें और घातांक गुणा करें, ${(a^{m})}^{n} = a^{m n}$ .

$\frac{x^{6} (x^{10} + 8 x^{9} + 12 x^{8} + 20 x^{7} + 10 x^{6} - 24 x^{5} + 16 x^{4} - 76 x^{3} + 45 x^{2} - 40 x + 28)}{{(x + 2)}^{4} {(x^{2} + 1)}^{3 \cdot 2}}$

चरण 10.5.2.2

$3$ को $2$ से गुणा करें.

$\frac{x^{6} (x^{10} + 8 x^{9} + 12 x^{8} + 20 x^{7} + 10 x^{6} - 24 x^{5} + 16 x^{4} - 76 x^{3} + 45 x^{2} - 40 x + 28)}{{(x + 2)}^{4} {(x^{2} + 1)}^{6}}$

चरण 10.6

पदों को पुन: व्यवस्थित करें

$\frac{x^{6} (x^{10} + 8 x^{9} + 12 x^{8} + 20 x^{7} + 10 x^{6} - 24 x^{5} + 16 x^{4} - 76 x^{3} + 45 x^{2} - 40 x + 28)}{{(x^{2} + 1)}^{6} {(x + 2)}^{4}}$