एलजेब्रा उदाहरण

$f (x) = {(x + 4)}^{4} (x - 1) {(x + 2)}^{7}$

Step 1

बहुपद को सरल और पुन: व्यवस्थित करें.

और स्टेप्स के लिए टैप करें…

द्विपद प्रमेय का प्रयोग करें.

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

प्रत्येक पद को सरल करें.

और स्टेप्स के लिए टैप करें…

$4$ को $4$ से गुणा करें.

$(x^{4} + 16 x^{3} + 6 x^{2} \cdot 4^{2} + 4 x \cdot 4^{3} + 4^{4}) (x - 1) {(x + 2)}^{7}$

$4$ को $2$ के घात तक बढ़ाएं.

$(x^{4} + 16 x^{3} + 6 x^{2} \cdot 16 + 4 x \cdot 4^{3} + 4^{4}) (x - 1) {(x + 2)}^{7}$

$16$ को $6$ से गुणा करें.

$(x^{4} + 16 x^{3} + 96 x^{2} + 4 x \cdot 4^{3} + 4^{4}) (x - 1) {(x + 2)}^{7}$

घातांक जोड़कर $4$ को $4^{3}$ से गुणा करें.

और स्टेप्स के लिए टैप करें…

$4^{3}$ ले जाएं.

$(x^{4} + 16 x^{3} + 96 x^{2} + 4^{3} \cdot 4 x + 4^{4}) (x - 1) {(x + 2)}^{7}$

$4^{3}$ को $4$ से गुणा करें.

और स्टेप्स के लिए टैप करें…

$4$ को $1$ के घात तक बढ़ाएं.

$(x^{4} + 16 x^{3} + 96 x^{2} + 4^{3} \cdot 4^{1} x + 4^{4}) (x - 1) {(x + 2)}^{7}$

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

$(x^{4} + 16 x^{3} + 96 x^{2} + 4^{3 + 1} x + 4^{4}) (x - 1) {(x + 2)}^{7}$

$3$ और $1$ जोड़ें.

$(x^{4} + 16 x^{3} + 96 x^{2} + 4^{4} x + 4^{4}) (x - 1) {(x + 2)}^{7}$

$4$ को $4$ के घात तक बढ़ाएं.

$(x^{4} + 16 x^{3} + 96 x^{2} + 256 x + 4^{4}) (x - 1) {(x + 2)}^{7}$

$4$ को $4$ के घात तक बढ़ाएं.

$(x^{4} + 16 x^{3} + 96 x^{2} + 256 x + 256) (x - 1) {(x + 2)}^{7}$

प्रथम व्यंजक के प्रत्येक पद को द्वितीय व्यंजक के प्रत्येक पद से गुणा करके $(x^{4} + 16 x^{3} + 96 x^{2} + 256 x + 256) (x - 1)$ का प्रसार करें.

$(x^{4} x + x^{4} \cdot - 1 + 16 x^{3} x + 16 x^{3} \cdot - 1 + 96 x^{2} x + 96 x^{2} \cdot - 1 + 256 x \cdot x + 256 x \cdot - 1 + 256 x + 256 \cdot - 1) {(x + 2)}^{7}$

पदों को सरल करें.

और स्टेप्स के लिए टैप करें…

प्रत्येक पद को सरल करें.

और स्टेप्स के लिए टैप करें…

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

और स्टेप्स के लिए टैप करें…

$x^{4}$ को $x$ से गुणा करें.

और स्टेप्स के लिए टैप करें…

$x$ को $1$ के घात तक बढ़ाएं.

$(x^{4} x^{1} + x^{4} \cdot - 1 + 16 x^{3} x + 16 x^{3} \cdot - 1 + 96 x^{2} x + 96 x^{2} \cdot - 1 + 256 x \cdot x + 256 x \cdot - 1 + 256 x + 256 \cdot - 1) {(x + 2)}^{7}$

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

$(x^{4 + 1} + x^{4} \cdot - 1 + 16 x^{3} x + 16 x^{3} \cdot - 1 + 96 x^{2} x + 96 x^{2} \cdot - 1 + 256 x \cdot x + 256 x \cdot - 1 + 256 x + 256 \cdot - 1) {(x + 2)}^{7}$

$4$ और $1$ जोड़ें.

$(x^{5} + x^{4} \cdot - 1 + 16 x^{3} x + 16 x^{3} \cdot - 1 + 96 x^{2} x + 96 x^{2} \cdot - 1 + 256 x \cdot x + 256 x \cdot - 1 + 256 x + 256 \cdot - 1) {(x + 2)}^{7}$

$- 1$ को $x^{4}$ के बाईं ओर ले जाएं.

$(x^{5} - 1 \cdot x^{4} + 16 x^{3} x + 16 x^{3} \cdot - 1 + 96 x^{2} x + 96 x^{2} \cdot - 1 + 256 x \cdot x + 256 x \cdot - 1 + 256 x + 256 \cdot - 1) {(x + 2)}^{7}$

$- 1 x^{4}$ को $- x^{4}$ के रूप में फिर से लिखें.

$(x^{5} - x^{4} + 16 x^{3} x + 16 x^{3} \cdot - 1 + 96 x^{2} x + 96 x^{2} \cdot - 1 + 256 x \cdot x + 256 x \cdot - 1 + 256 x + 256 \cdot - 1) {(x + 2)}^{7}$

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

और स्टेप्स के लिए टैप करें…

$x$ ले जाएं.

$(x^{5} - x^{4} + 16 (x \cdot x^{3}) + 16 x^{3} \cdot - 1 + 96 x^{2} x + 96 x^{2} \cdot - 1 + 256 x \cdot x + 256 x \cdot - 1 + 256 x + 256 \cdot - 1) {(x + 2)}^{7}$

$x$ को $x^{3}$ से गुणा करें.

और स्टेप्स के लिए टैप करें…

$x$ को $1$ के घात तक बढ़ाएं.

$(x^{5} - x^{4} + 16 (x^{1} x^{3}) + 16 x^{3} \cdot - 1 + 96 x^{2} x + 96 x^{2} \cdot - 1 + 256 x \cdot x + 256 x \cdot - 1 + 256 x + 256 \cdot - 1) {(x + 2)}^{7}$

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

$(x^{5} - x^{4} + 16 x^{1 + 3} + 16 x^{3} \cdot - 1 + 96 x^{2} x + 96 x^{2} \cdot - 1 + 256 x \cdot x + 256 x \cdot - 1 + 256 x + 256 \cdot - 1) {(x + 2)}^{7}$

$1$ और $3$ जोड़ें.

$(x^{5} - x^{4} + 16 x^{4} + 16 x^{3} \cdot - 1 + 96 x^{2} x + 96 x^{2} \cdot - 1 + 256 x \cdot x + 256 x \cdot - 1 + 256 x + 256 \cdot - 1) {(x + 2)}^{7}$

$- 1$ को $16$ से गुणा करें.

$(x^{5} - x^{4} + 16 x^{4} - 16 x^{3} + 96 x^{2} x + 96 x^{2} \cdot - 1 + 256 x \cdot x + 256 x \cdot - 1 + 256 x + 256 \cdot - 1) {(x + 2)}^{7}$

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

और स्टेप्स के लिए टैप करें…

$x$ ले जाएं.

$(x^{5} - x^{4} + 16 x^{4} - 16 x^{3} + 96 (x \cdot x^{2}) + 96 x^{2} \cdot - 1 + 256 x \cdot x + 256 x \cdot - 1 + 256 x + 256 \cdot - 1) {(x + 2)}^{7}$

$x$ को $x^{2}$ से गुणा करें.

और स्टेप्स के लिए टैप करें…

$x$ को $1$ के घात तक बढ़ाएं.

$(x^{5} - x^{4} + 16 x^{4} - 16 x^{3} + 96 (x^{1} x^{2}) + 96 x^{2} \cdot - 1 + 256 x \cdot x + 256 x \cdot - 1 + 256 x + 256 \cdot - 1) {(x + 2)}^{7}$

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

$(x^{5} - x^{4} + 16 x^{4} - 16 x^{3} + 96 x^{1 + 2} + 96 x^{2} \cdot - 1 + 256 x \cdot x + 256 x \cdot - 1 + 256 x + 256 \cdot - 1) {(x + 2)}^{7}$

$1$ और $2$ जोड़ें.

$(x^{5} - x^{4} + 16 x^{4} - 16 x^{3} + 96 x^{3} + 96 x^{2} \cdot - 1 + 256 x \cdot x + 256 x \cdot - 1 + 256 x + 256 \cdot - 1) {(x + 2)}^{7}$

$- 1$ को $96$ से गुणा करें.

$(x^{5} - x^{4} + 16 x^{4} - 16 x^{3} + 96 x^{3} - 96 x^{2} + 256 x \cdot x + 256 x \cdot - 1 + 256 x + 256 \cdot - 1) {(x + 2)}^{7}$

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

और स्टेप्स के लिए टैप करें…

$x$ ले जाएं.

$(x^{5} - x^{4} + 16 x^{4} - 16 x^{3} + 96 x^{3} - 96 x^{2} + 256 (x \cdot x) + 256 x \cdot - 1 + 256 x + 256 \cdot - 1) {(x + 2)}^{7}$

$x$ को $x$ से गुणा करें.

$(x^{5} - x^{4} + 16 x^{4} - 16 x^{3} + 96 x^{3} - 96 x^{2} + 256 x^{2} + 256 x \cdot - 1 + 256 x + 256 \cdot - 1) {(x + 2)}^{7}$

$- 1$ को $256$ से गुणा करें.

$(x^{5} - x^{4} + 16 x^{4} - 16 x^{3} + 96 x^{3} - 96 x^{2} + 256 x^{2} - 256 x + 256 x + 256 \cdot - 1) {(x + 2)}^{7}$

$256$ को $- 1$ से गुणा करें.

$(x^{5} - x^{4} + 16 x^{4} - 16 x^{3} + 96 x^{3} - 96 x^{2} + 256 x^{2} - 256 x + 256 x - 256) {(x + 2)}^{7}$

पदों को जोड़कर सरल करें.

और स्टेप्स के लिए टैप करें…

$x^{5} - x^{4} + 16 x^{4} - 16 x^{3} + 96 x^{3} - 96 x^{2} + 256 x^{2} - 256 x + 256 x - 256$ में विपरीत पदों को मिलाएं.

और स्टेप्स के लिए टैप करें…

$- 256 x$ और $256 x$ जोड़ें.

$(x^{5} - x^{4} + 16 x^{4} - 16 x^{3} + 96 x^{3} - 96 x^{2} + 256 x^{2} + 0 - 256) {(x + 2)}^{7}$

$x^{5} - x^{4} + 16 x^{4} - 16 x^{3} + 96 x^{3} - 96 x^{2} + 256 x^{2}$ और $0$ जोड़ें.

$(x^{5} - x^{4} + 16 x^{4} - 16 x^{3} + 96 x^{3} - 96 x^{2} + 256 x^{2} - 256) {(x + 2)}^{7}$

$- x^{4}$ और $16 x^{4}$ जोड़ें.

$(x^{5} + 15 x^{4} - 16 x^{3} + 96 x^{3} - 96 x^{2} + 256 x^{2} - 256) {(x + 2)}^{7}$

$- 16 x^{3}$ और $96 x^{3}$ जोड़ें.

$(x^{5} + 15 x^{4} + 80 x^{3} - 96 x^{2} + 256 x^{2} - 256) {(x + 2)}^{7}$

$- 96 x^{2}$ और $256 x^{2}$ जोड़ें.

$(x^{5} + 15 x^{4} + 80 x^{3} + 160 x^{2} - 256) {(x + 2)}^{7}$

द्विपद प्रमेय का प्रयोग करें.

$(x^{5} + 15 x^{4} + 80 x^{3} + 160 x^{2} - 256) (x^{7} + 7 x^{6} \cdot 2 + 21 x^{5} \cdot 2^{2} + 35 x^{4} \cdot 2^{3} + 35 x^{3} \cdot 2^{4} + 21 x^{2} \cdot 2^{5} + 7 x \cdot 2^{6} + 2^{7})$

प्रत्येक पद को सरल करें.

और स्टेप्स के लिए टैप करें…

$2$ को $7$ से गुणा करें.

$(x^{5} + 15 x^{4} + 80 x^{3} + 160 x^{2} - 256) (x^{7} + 14 x^{6} + 21 x^{5} \cdot 2^{2} + 35 x^{4} \cdot 2^{3} + 35 x^{3} \cdot 2^{4} + 21 x^{2} \cdot 2^{5} + 7 x \cdot 2^{6} + 2^{7})$

$2$ को $2$ के घात तक बढ़ाएं.

$(x^{5} + 15 x^{4} + 80 x^{3} + 160 x^{2} - 256) (x^{7} + 14 x^{6} + 21 x^{5} \cdot 4 + 35 x^{4} \cdot 2^{3} + 35 x^{3} \cdot 2^{4} + 21 x^{2} \cdot 2^{5} + 7 x \cdot 2^{6} + 2^{7})$

$4$ को $21$ से गुणा करें.

$(x^{5} + 15 x^{4} + 80 x^{3} + 160 x^{2} - 256) (x^{7} + 14 x^{6} + 84 x^{5} + 35 x^{4} \cdot 2^{3} + 35 x^{3} \cdot 2^{4} + 21 x^{2} \cdot 2^{5} + 7 x \cdot 2^{6} + 2^{7})$

$2$ को $3$ के घात तक बढ़ाएं.

$(x^{5} + 15 x^{4} + 80 x^{3} + 160 x^{2} - 256) (x^{7} + 14 x^{6} + 84 x^{5} + 35 x^{4} \cdot 8 + 35 x^{3} \cdot 2^{4} + 21 x^{2} \cdot 2^{5} + 7 x \cdot 2^{6} + 2^{7})$

$8$ को $35$ से गुणा करें.

$(x^{5} + 15 x^{4} + 80 x^{3} + 160 x^{2} - 256) (x^{7} + 14 x^{6} + 84 x^{5} + 280 x^{4} + 35 x^{3} \cdot 2^{4} + 21 x^{2} \cdot 2^{5} + 7 x \cdot 2^{6} + 2^{7})$

$2$ को $4$ के घात तक बढ़ाएं.

$(x^{5} + 15 x^{4} + 80 x^{3} + 160 x^{2} - 256) (x^{7} + 14 x^{6} + 84 x^{5} + 280 x^{4} + 35 x^{3} \cdot 16 + 21 x^{2} \cdot 2^{5} + 7 x \cdot 2^{6} + 2^{7})$

$16$ को $35$ से गुणा करें.

$(x^{5} + 15 x^{4} + 80 x^{3} + 160 x^{2} - 256) (x^{7} + 14 x^{6} + 84 x^{5} + 280 x^{4} + 560 x^{3} + 21 x^{2} \cdot 2^{5} + 7 x \cdot 2^{6} + 2^{7})$

$2$ को $5$ के घात तक बढ़ाएं.

$(x^{5} + 15 x^{4} + 80 x^{3} + 160 x^{2} - 256) (x^{7} + 14 x^{6} + 84 x^{5} + 280 x^{4} + 560 x^{3} + 21 x^{2} \cdot 32 + 7 x \cdot 2^{6} + 2^{7})$

$32$ को $21$ से गुणा करें.

$(x^{5} + 15 x^{4} + 80 x^{3} + 160 x^{2} - 256) (x^{7} + 14 x^{6} + 84 x^{5} + 280 x^{4} + 560 x^{3} + 672 x^{2} + 7 x \cdot 2^{6} + 2^{7})$

$2$ को $6$ के घात तक बढ़ाएं.

$(x^{5} + 15 x^{4} + 80 x^{3} + 160 x^{2} - 256) (x^{7} + 14 x^{6} + 84 x^{5} + 280 x^{4} + 560 x^{3} + 672 x^{2} + 7 x \cdot 64 + 2^{7})$

$64$ को $7$ से गुणा करें.

$(x^{5} + 15 x^{4} + 80 x^{3} + 160 x^{2} - 256) (x^{7} + 14 x^{6} + 84 x^{5} + 280 x^{4} + 560 x^{3} + 672 x^{2} + 448 x + 2^{7})$

$2$ को $7$ के घात तक बढ़ाएं.

$(x^{5} + 15 x^{4} + 80 x^{3} + 160 x^{2} - 256) (x^{7} + 14 x^{6} + 84 x^{5} + 280 x^{4} + 560 x^{3} + 672 x^{2} + 448 x + 128)$

प्रथम व्यंजक के प्रत्येक पद को द्वितीय व्यंजक के प्रत्येक पद से गुणा करके $(x^{5} + 15 x^{4} + 80 x^{3} + 160 x^{2} - 256) (x^{7} + 14 x^{6} + 84 x^{5} + 280 x^{4} + 560 x^{3} + 672 x^{2} + 448 x + 128)$ का प्रसार करें.

$x^{5} x^{7} + x^{5} (14 x^{6}) + x^{5} (84 x^{5}) + x^{5} (280 x^{4}) + x^{5} (560 x^{3}) + x^{5} (672 x^{2}) + x^{5} (448 x) + x^{5} \cdot 128 + 15 x^{4} x^{7} + 15 x^{4} (14 x^{6}) + 15 x^{4} (84 x^{5}) + 15 x^{4} (280 x^{4}) + 15 x^{4} (560 x^{3}) + 15 x^{4} (672 x^{2}) + 15 x^{4} (448 x) + 15 x^{4} \cdot 128 + 80 x^{3} x^{7} + 80 x^{3} (14 x^{6}) + 80 x^{3} (84 x^{5}) + 80 x^{3} (280 x^{4}) + 80 x^{3} (560 x^{3}) + 80 x^{3} (672 x^{2}) + 80 x^{3} (448 x) + 80 x^{3} \cdot 128 + 160 x^{2} x^{7} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

पदों को सरल करें.

और स्टेप्स के लिए टैप करें…

प्रत्येक पद को सरल करें.

और स्टेप्स के लिए टैप करें…

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

और स्टेप्स के लिए टैप करें…

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

$x^{5 + 7} + x^{5} (14 x^{6}) + x^{5} (84 x^{5}) + x^{5} (280 x^{4}) + x^{5} (560 x^{3}) + x^{5} (672 x^{2}) + x^{5} (448 x) + x^{5} \cdot 128 + 15 x^{4} x^{7} + 15 x^{4} (14 x^{6}) + 15 x^{4} (84 x^{5}) + 15 x^{4} (280 x^{4}) + 15 x^{4} (560 x^{3}) + 15 x^{4} (672 x^{2}) + 15 x^{4} (448 x) + 15 x^{4} \cdot 128 + 80 x^{3} x^{7} + 80 x^{3} (14 x^{6}) + 80 x^{3} (84 x^{5}) + 80 x^{3} (280 x^{4}) + 80 x^{3} (560 x^{3}) + 80 x^{3} (672 x^{2}) + 80 x^{3} (448 x) + 80 x^{3} \cdot 128 + 160 x^{2} x^{7} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

$5$ और $7$ जोड़ें.

$x^{12} + x^{5} (14 x^{6}) + x^{5} (84 x^{5}) + x^{5} (280 x^{4}) + x^{5} (560 x^{3}) + x^{5} (672 x^{2}) + x^{5} (448 x) + x^{5} \cdot 128 + 15 x^{4} x^{7} + 15 x^{4} (14 x^{6}) + 15 x^{4} (84 x^{5}) + 15 x^{4} (280 x^{4}) + 15 x^{4} (560 x^{3}) + 15 x^{4} (672 x^{2}) + 15 x^{4} (448 x) + 15 x^{4} \cdot 128 + 80 x^{3} x^{7} + 80 x^{3} (14 x^{6}) + 80 x^{3} (84 x^{5}) + 80 x^{3} (280 x^{4}) + 80 x^{3} (560 x^{3}) + 80 x^{3} (672 x^{2}) + 80 x^{3} (448 x) + 80 x^{3} \cdot 128 + 160 x^{2} x^{7} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

गुणन के क्रमविनिमेय गुण का उपयोग करके फिर से लिखें.

$x^{12} + 14 x^{5} x^{6} + x^{5} (84 x^{5}) + x^{5} (280 x^{4}) + x^{5} (560 x^{3}) + x^{5} (672 x^{2}) + x^{5} (448 x) + x^{5} \cdot 128 + 15 x^{4} x^{7} + 15 x^{4} (14 x^{6}) + 15 x^{4} (84 x^{5}) + 15 x^{4} (280 x^{4}) + 15 x^{4} (560 x^{3}) + 15 x^{4} (672 x^{2}) + 15 x^{4} (448 x) + 15 x^{4} \cdot 128 + 80 x^{3} x^{7} + 80 x^{3} (14 x^{6}) + 80 x^{3} (84 x^{5}) + 80 x^{3} (280 x^{4}) + 80 x^{3} (560 x^{3}) + 80 x^{3} (672 x^{2}) + 80 x^{3} (448 x) + 80 x^{3} \cdot 128 + 160 x^{2} x^{7} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

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

और स्टेप्स के लिए टैप करें…

$x^{6}$ ले जाएं.

$x^{12} + 14 (x^{6} x^{5}) + x^{5} (84 x^{5}) + x^{5} (280 x^{4}) + x^{5} (560 x^{3}) + x^{5} (672 x^{2}) + x^{5} (448 x) + x^{5} \cdot 128 + 15 x^{4} x^{7} + 15 x^{4} (14 x^{6}) + 15 x^{4} (84 x^{5}) + 15 x^{4} (280 x^{4}) + 15 x^{4} (560 x^{3}) + 15 x^{4} (672 x^{2}) + 15 x^{4} (448 x) + 15 x^{4} \cdot 128 + 80 x^{3} x^{7} + 80 x^{3} (14 x^{6}) + 80 x^{3} (84 x^{5}) + 80 x^{3} (280 x^{4}) + 80 x^{3} (560 x^{3}) + 80 x^{3} (672 x^{2}) + 80 x^{3} (448 x) + 80 x^{3} \cdot 128 + 160 x^{2} x^{7} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

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

$x^{12} + 14 x^{6 + 5} + x^{5} (84 x^{5}) + x^{5} (280 x^{4}) + x^{5} (560 x^{3}) + x^{5} (672 x^{2}) + x^{5} (448 x) + x^{5} \cdot 128 + 15 x^{4} x^{7} + 15 x^{4} (14 x^{6}) + 15 x^{4} (84 x^{5}) + 15 x^{4} (280 x^{4}) + 15 x^{4} (560 x^{3}) + 15 x^{4} (672 x^{2}) + 15 x^{4} (448 x) + 15 x^{4} \cdot 128 + 80 x^{3} x^{7} + 80 x^{3} (14 x^{6}) + 80 x^{3} (84 x^{5}) + 80 x^{3} (280 x^{4}) + 80 x^{3} (560 x^{3}) + 80 x^{3} (672 x^{2}) + 80 x^{3} (448 x) + 80 x^{3} \cdot 128 + 160 x^{2} x^{7} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

$6$ और $5$ जोड़ें.

$x^{12} + 14 x^{11} + x^{5} (84 x^{5}) + x^{5} (280 x^{4}) + x^{5} (560 x^{3}) + x^{5} (672 x^{2}) + x^{5} (448 x) + x^{5} \cdot 128 + 15 x^{4} x^{7} + 15 x^{4} (14 x^{6}) + 15 x^{4} (84 x^{5}) + 15 x^{4} (280 x^{4}) + 15 x^{4} (560 x^{3}) + 15 x^{4} (672 x^{2}) + 15 x^{4} (448 x) + 15 x^{4} \cdot 128 + 80 x^{3} x^{7} + 80 x^{3} (14 x^{6}) + 80 x^{3} (84 x^{5}) + 80 x^{3} (280 x^{4}) + 80 x^{3} (560 x^{3}) + 80 x^{3} (672 x^{2}) + 80 x^{3} (448 x) + 80 x^{3} \cdot 128 + 160 x^{2} x^{7} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

गुणन के क्रमविनिमेय गुण का उपयोग करके फिर से लिखें.

$x^{12} + 14 x^{11} + 84 x^{5} x^{5} + x^{5} (280 x^{4}) + x^{5} (560 x^{3}) + x^{5} (672 x^{2}) + x^{5} (448 x) + x^{5} \cdot 128 + 15 x^{4} x^{7} + 15 x^{4} (14 x^{6}) + 15 x^{4} (84 x^{5}) + 15 x^{4} (280 x^{4}) + 15 x^{4} (560 x^{3}) + 15 x^{4} (672 x^{2}) + 15 x^{4} (448 x) + 15 x^{4} \cdot 128 + 80 x^{3} x^{7} + 80 x^{3} (14 x^{6}) + 80 x^{3} (84 x^{5}) + 80 x^{3} (280 x^{4}) + 80 x^{3} (560 x^{3}) + 80 x^{3} (672 x^{2}) + 80 x^{3} (448 x) + 80 x^{3} \cdot 128 + 160 x^{2} x^{7} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

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

और स्टेप्स के लिए टैप करें…

$x^{5}$ ले जाएं.

$x^{12} + 14 x^{11} + 84 (x^{5} x^{5}) + x^{5} (280 x^{4}) + x^{5} (560 x^{3}) + x^{5} (672 x^{2}) + x^{5} (448 x) + x^{5} \cdot 128 + 15 x^{4} x^{7} + 15 x^{4} (14 x^{6}) + 15 x^{4} (84 x^{5}) + 15 x^{4} (280 x^{4}) + 15 x^{4} (560 x^{3}) + 15 x^{4} (672 x^{2}) + 15 x^{4} (448 x) + 15 x^{4} \cdot 128 + 80 x^{3} x^{7} + 80 x^{3} (14 x^{6}) + 80 x^{3} (84 x^{5}) + 80 x^{3} (280 x^{4}) + 80 x^{3} (560 x^{3}) + 80 x^{3} (672 x^{2}) + 80 x^{3} (448 x) + 80 x^{3} \cdot 128 + 160 x^{2} x^{7} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

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

$x^{12} + 14 x^{11} + 84 x^{5 + 5} + x^{5} (280 x^{4}) + x^{5} (560 x^{3}) + x^{5} (672 x^{2}) + x^{5} (448 x) + x^{5} \cdot 128 + 15 x^{4} x^{7} + 15 x^{4} (14 x^{6}) + 15 x^{4} (84 x^{5}) + 15 x^{4} (280 x^{4}) + 15 x^{4} (560 x^{3}) + 15 x^{4} (672 x^{2}) + 15 x^{4} (448 x) + 15 x^{4} \cdot 128 + 80 x^{3} x^{7} + 80 x^{3} (14 x^{6}) + 80 x^{3} (84 x^{5}) + 80 x^{3} (280 x^{4}) + 80 x^{3} (560 x^{3}) + 80 x^{3} (672 x^{2}) + 80 x^{3} (448 x) + 80 x^{3} \cdot 128 + 160 x^{2} x^{7} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

$5$ और $5$ जोड़ें.

$x^{12} + 14 x^{11} + 84 x^{10} + x^{5} (280 x^{4}) + x^{5} (560 x^{3}) + x^{5} (672 x^{2}) + x^{5} (448 x) + x^{5} \cdot 128 + 15 x^{4} x^{7} + 15 x^{4} (14 x^{6}) + 15 x^{4} (84 x^{5}) + 15 x^{4} (280 x^{4}) + 15 x^{4} (560 x^{3}) + 15 x^{4} (672 x^{2}) + 15 x^{4} (448 x) + 15 x^{4} \cdot 128 + 80 x^{3} x^{7} + 80 x^{3} (14 x^{6}) + 80 x^{3} (84 x^{5}) + 80 x^{3} (280 x^{4}) + 80 x^{3} (560 x^{3}) + 80 x^{3} (672 x^{2}) + 80 x^{3} (448 x) + 80 x^{3} \cdot 128 + 160 x^{2} x^{7} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

गुणन के क्रमविनिमेय गुण का उपयोग करके फिर से लिखें.

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{5} x^{4} + x^{5} (560 x^{3}) + x^{5} (672 x^{2}) + x^{5} (448 x) + x^{5} \cdot 128 + 15 x^{4} x^{7} + 15 x^{4} (14 x^{6}) + 15 x^{4} (84 x^{5}) + 15 x^{4} (280 x^{4}) + 15 x^{4} (560 x^{3}) + 15 x^{4} (672 x^{2}) + 15 x^{4} (448 x) + 15 x^{4} \cdot 128 + 80 x^{3} x^{7} + 80 x^{3} (14 x^{6}) + 80 x^{3} (84 x^{5}) + 80 x^{3} (280 x^{4}) + 80 x^{3} (560 x^{3}) + 80 x^{3} (672 x^{2}) + 80 x^{3} (448 x) + 80 x^{3} \cdot 128 + 160 x^{2} x^{7} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

घातांक जोड़कर $x^{5}$ को $x^{4}$ से गुणा करें.

और स्टेप्स के लिए टैप करें…

$x^{4}$ ले जाएं.

$x^{12} + 14 x^{11} + 84 x^{10} + 280 (x^{4} x^{5}) + x^{5} (560 x^{3}) + x^{5} (672 x^{2}) + x^{5} (448 x) + x^{5} \cdot 128 + 15 x^{4} x^{7} + 15 x^{4} (14 x^{6}) + 15 x^{4} (84 x^{5}) + 15 x^{4} (280 x^{4}) + 15 x^{4} (560 x^{3}) + 15 x^{4} (672 x^{2}) + 15 x^{4} (448 x) + 15 x^{4} \cdot 128 + 80 x^{3} x^{7} + 80 x^{3} (14 x^{6}) + 80 x^{3} (84 x^{5}) + 80 x^{3} (280 x^{4}) + 80 x^{3} (560 x^{3}) + 80 x^{3} (672 x^{2}) + 80 x^{3} (448 x) + 80 x^{3} \cdot 128 + 160 x^{2} x^{7} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

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

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{4 + 5} + x^{5} (560 x^{3}) + x^{5} (672 x^{2}) + x^{5} (448 x) + x^{5} \cdot 128 + 15 x^{4} x^{7} + 15 x^{4} (14 x^{6}) + 15 x^{4} (84 x^{5}) + 15 x^{4} (280 x^{4}) + 15 x^{4} (560 x^{3}) + 15 x^{4} (672 x^{2}) + 15 x^{4} (448 x) + 15 x^{4} \cdot 128 + 80 x^{3} x^{7} + 80 x^{3} (14 x^{6}) + 80 x^{3} (84 x^{5}) + 80 x^{3} (280 x^{4}) + 80 x^{3} (560 x^{3}) + 80 x^{3} (672 x^{2}) + 80 x^{3} (448 x) + 80 x^{3} \cdot 128 + 160 x^{2} x^{7} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

$4$ और $5$ जोड़ें.

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + x^{5} (560 x^{3}) + x^{5} (672 x^{2}) + x^{5} (448 x) + x^{5} \cdot 128 + 15 x^{4} x^{7} + 15 x^{4} (14 x^{6}) + 15 x^{4} (84 x^{5}) + 15 x^{4} (280 x^{4}) + 15 x^{4} (560 x^{3}) + 15 x^{4} (672 x^{2}) + 15 x^{4} (448 x) + 15 x^{4} \cdot 128 + 80 x^{3} x^{7} + 80 x^{3} (14 x^{6}) + 80 x^{3} (84 x^{5}) + 80 x^{3} (280 x^{4}) + 80 x^{3} (560 x^{3}) + 80 x^{3} (672 x^{2}) + 80 x^{3} (448 x) + 80 x^{3} \cdot 128 + 160 x^{2} x^{7} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

गुणन के क्रमविनिमेय गुण का उपयोग करके फिर से लिखें.

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{5} x^{3} + x^{5} (672 x^{2}) + x^{5} (448 x) + x^{5} \cdot 128 + 15 x^{4} x^{7} + 15 x^{4} (14 x^{6}) + 15 x^{4} (84 x^{5}) + 15 x^{4} (280 x^{4}) + 15 x^{4} (560 x^{3}) + 15 x^{4} (672 x^{2}) + 15 x^{4} (448 x) + 15 x^{4} \cdot 128 + 80 x^{3} x^{7} + 80 x^{3} (14 x^{6}) + 80 x^{3} (84 x^{5}) + 80 x^{3} (280 x^{4}) + 80 x^{3} (560 x^{3}) + 80 x^{3} (672 x^{2}) + 80 x^{3} (448 x) + 80 x^{3} \cdot 128 + 160 x^{2} x^{7} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

घातांक जोड़कर $x^{5}$ को $x^{3}$ से गुणा करें.

और स्टेप्स के लिए टैप करें…

$x^{3}$ ले जाएं.

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 (x^{3} x^{5}) + x^{5} (672 x^{2}) + x^{5} (448 x) + x^{5} \cdot 128 + 15 x^{4} x^{7} + 15 x^{4} (14 x^{6}) + 15 x^{4} (84 x^{5}) + 15 x^{4} (280 x^{4}) + 15 x^{4} (560 x^{3}) + 15 x^{4} (672 x^{2}) + 15 x^{4} (448 x) + 15 x^{4} \cdot 128 + 80 x^{3} x^{7} + 80 x^{3} (14 x^{6}) + 80 x^{3} (84 x^{5}) + 80 x^{3} (280 x^{4}) + 80 x^{3} (560 x^{3}) + 80 x^{3} (672 x^{2}) + 80 x^{3} (448 x) + 80 x^{3} \cdot 128 + 160 x^{2} x^{7} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

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

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{3 + 5} + x^{5} (672 x^{2}) + x^{5} (448 x) + x^{5} \cdot 128 + 15 x^{4} x^{7} + 15 x^{4} (14 x^{6}) + 15 x^{4} (84 x^{5}) + 15 x^{4} (280 x^{4}) + 15 x^{4} (560 x^{3}) + 15 x^{4} (672 x^{2}) + 15 x^{4} (448 x) + 15 x^{4} \cdot 128 + 80 x^{3} x^{7} + 80 x^{3} (14 x^{6}) + 80 x^{3} (84 x^{5}) + 80 x^{3} (280 x^{4}) + 80 x^{3} (560 x^{3}) + 80 x^{3} (672 x^{2}) + 80 x^{3} (448 x) + 80 x^{3} \cdot 128 + 160 x^{2} x^{7} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

$3$ और $5$ जोड़ें.

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + x^{5} (672 x^{2}) + x^{5} (448 x) + x^{5} \cdot 128 + 15 x^{4} x^{7} + 15 x^{4} (14 x^{6}) + 15 x^{4} (84 x^{5}) + 15 x^{4} (280 x^{4}) + 15 x^{4} (560 x^{3}) + 15 x^{4} (672 x^{2}) + 15 x^{4} (448 x) + 15 x^{4} \cdot 128 + 80 x^{3} x^{7} + 80 x^{3} (14 x^{6}) + 80 x^{3} (84 x^{5}) + 80 x^{3} (280 x^{4}) + 80 x^{3} (560 x^{3}) + 80 x^{3} (672 x^{2}) + 80 x^{3} (448 x) + 80 x^{3} \cdot 128 + 160 x^{2} x^{7} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

गुणन के क्रमविनिमेय गुण का उपयोग करके फिर से लिखें.

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{5} x^{2} + x^{5} (448 x) + x^{5} \cdot 128 + 15 x^{4} x^{7} + 15 x^{4} (14 x^{6}) + 15 x^{4} (84 x^{5}) + 15 x^{4} (280 x^{4}) + 15 x^{4} (560 x^{3}) + 15 x^{4} (672 x^{2}) + 15 x^{4} (448 x) + 15 x^{4} \cdot 128 + 80 x^{3} x^{7} + 80 x^{3} (14 x^{6}) + 80 x^{3} (84 x^{5}) + 80 x^{3} (280 x^{4}) + 80 x^{3} (560 x^{3}) + 80 x^{3} (672 x^{2}) + 80 x^{3} (448 x) + 80 x^{3} \cdot 128 + 160 x^{2} x^{7} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

घातांक जोड़कर $x^{5}$ को $x^{2}$ से गुणा करें.

और स्टेप्स के लिए टैप करें…

$x^{2}$ ले जाएं.

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 (x^{2} x^{5}) + x^{5} (448 x) + x^{5} \cdot 128 + 15 x^{4} x^{7} + 15 x^{4} (14 x^{6}) + 15 x^{4} (84 x^{5}) + 15 x^{4} (280 x^{4}) + 15 x^{4} (560 x^{3}) + 15 x^{4} (672 x^{2}) + 15 x^{4} (448 x) + 15 x^{4} \cdot 128 + 80 x^{3} x^{7} + 80 x^{3} (14 x^{6}) + 80 x^{3} (84 x^{5}) + 80 x^{3} (280 x^{4}) + 80 x^{3} (560 x^{3}) + 80 x^{3} (672 x^{2}) + 80 x^{3} (448 x) + 80 x^{3} \cdot 128 + 160 x^{2} x^{7} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

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

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{2 + 5} + x^{5} (448 x) + x^{5} \cdot 128 + 15 x^{4} x^{7} + 15 x^{4} (14 x^{6}) + 15 x^{4} (84 x^{5}) + 15 x^{4} (280 x^{4}) + 15 x^{4} (560 x^{3}) + 15 x^{4} (672 x^{2}) + 15 x^{4} (448 x) + 15 x^{4} \cdot 128 + 80 x^{3} x^{7} + 80 x^{3} (14 x^{6}) + 80 x^{3} (84 x^{5}) + 80 x^{3} (280 x^{4}) + 80 x^{3} (560 x^{3}) + 80 x^{3} (672 x^{2}) + 80 x^{3} (448 x) + 80 x^{3} \cdot 128 + 160 x^{2} x^{7} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

$2$ और $5$ जोड़ें.

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + x^{5} (448 x) + x^{5} \cdot 128 + 15 x^{4} x^{7} + 15 x^{4} (14 x^{6}) + 15 x^{4} (84 x^{5}) + 15 x^{4} (280 x^{4}) + 15 x^{4} (560 x^{3}) + 15 x^{4} (672 x^{2}) + 15 x^{4} (448 x) + 15 x^{4} \cdot 128 + 80 x^{3} x^{7} + 80 x^{3} (14 x^{6}) + 80 x^{3} (84 x^{5}) + 80 x^{3} (280 x^{4}) + 80 x^{3} (560 x^{3}) + 80 x^{3} (672 x^{2}) + 80 x^{3} (448 x) + 80 x^{3} \cdot 128 + 160 x^{2} x^{7} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

गुणन के क्रमविनिमेय गुण का उपयोग करके फिर से लिखें.

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{5} x + x^{5} \cdot 128 + 15 x^{4} x^{7} + 15 x^{4} (14 x^{6}) + 15 x^{4} (84 x^{5}) + 15 x^{4} (280 x^{4}) + 15 x^{4} (560 x^{3}) + 15 x^{4} (672 x^{2}) + 15 x^{4} (448 x) + 15 x^{4} \cdot 128 + 80 x^{3} x^{7} + 80 x^{3} (14 x^{6}) + 80 x^{3} (84 x^{5}) + 80 x^{3} (280 x^{4}) + 80 x^{3} (560 x^{3}) + 80 x^{3} (672 x^{2}) + 80 x^{3} (448 x) + 80 x^{3} \cdot 128 + 160 x^{2} x^{7} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

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

और स्टेप्स के लिए टैप करें…

$x$ ले जाएं.

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 (x \cdot x^{5}) + x^{5} \cdot 128 + 15 x^{4} x^{7} + 15 x^{4} (14 x^{6}) + 15 x^{4} (84 x^{5}) + 15 x^{4} (280 x^{4}) + 15 x^{4} (560 x^{3}) + 15 x^{4} (672 x^{2}) + 15 x^{4} (448 x) + 15 x^{4} \cdot 128 + 80 x^{3} x^{7} + 80 x^{3} (14 x^{6}) + 80 x^{3} (84 x^{5}) + 80 x^{3} (280 x^{4}) + 80 x^{3} (560 x^{3}) + 80 x^{3} (672 x^{2}) + 80 x^{3} (448 x) + 80 x^{3} \cdot 128 + 160 x^{2} x^{7} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

$x$ को $x^{5}$ से गुणा करें.

और स्टेप्स के लिए टैप करें…

$x$ को $1$ के घात तक बढ़ाएं.

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 (x^{1} x^{5}) + x^{5} \cdot 128 + 15 x^{4} x^{7} + 15 x^{4} (14 x^{6}) + 15 x^{4} (84 x^{5}) + 15 x^{4} (280 x^{4}) + 15 x^{4} (560 x^{3}) + 15 x^{4} (672 x^{2}) + 15 x^{4} (448 x) + 15 x^{4} \cdot 128 + 80 x^{3} x^{7} + 80 x^{3} (14 x^{6}) + 80 x^{3} (84 x^{5}) + 80 x^{3} (280 x^{4}) + 80 x^{3} (560 x^{3}) + 80 x^{3} (672 x^{2}) + 80 x^{3} (448 x) + 80 x^{3} \cdot 128 + 160 x^{2} x^{7} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

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

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{1 + 5} + x^{5} \cdot 128 + 15 x^{4} x^{7} + 15 x^{4} (14 x^{6}) + 15 x^{4} (84 x^{5}) + 15 x^{4} (280 x^{4}) + 15 x^{4} (560 x^{3}) + 15 x^{4} (672 x^{2}) + 15 x^{4} (448 x) + 15 x^{4} \cdot 128 + 80 x^{3} x^{7} + 80 x^{3} (14 x^{6}) + 80 x^{3} (84 x^{5}) + 80 x^{3} (280 x^{4}) + 80 x^{3} (560 x^{3}) + 80 x^{3} (672 x^{2}) + 80 x^{3} (448 x) + 80 x^{3} \cdot 128 + 160 x^{2} x^{7} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

$1$ और $5$ जोड़ें.

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + x^{5} \cdot 128 + 15 x^{4} x^{7} + 15 x^{4} (14 x^{6}) + 15 x^{4} (84 x^{5}) + 15 x^{4} (280 x^{4}) + 15 x^{4} (560 x^{3}) + 15 x^{4} (672 x^{2}) + 15 x^{4} (448 x) + 15 x^{4} \cdot 128 + 80 x^{3} x^{7} + 80 x^{3} (14 x^{6}) + 80 x^{3} (84 x^{5}) + 80 x^{3} (280 x^{4}) + 80 x^{3} (560 x^{3}) + 80 x^{3} (672 x^{2}) + 80 x^{3} (448 x) + 80 x^{3} \cdot 128 + 160 x^{2} x^{7} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

$128$ को $x^{5}$ के बाईं ओर ले जाएं.

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 \cdot x^{5} + 15 x^{4} x^{7} + 15 x^{4} (14 x^{6}) + 15 x^{4} (84 x^{5}) + 15 x^{4} (280 x^{4}) + 15 x^{4} (560 x^{3}) + 15 x^{4} (672 x^{2}) + 15 x^{4} (448 x) + 15 x^{4} \cdot 128 + 80 x^{3} x^{7} + 80 x^{3} (14 x^{6}) + 80 x^{3} (84 x^{5}) + 80 x^{3} (280 x^{4}) + 80 x^{3} (560 x^{3}) + 80 x^{3} (672 x^{2}) + 80 x^{3} (448 x) + 80 x^{3} \cdot 128 + 160 x^{2} x^{7} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

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

और स्टेप्स के लिए टैप करें…

$x^{7}$ ले जाएं.

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 (x^{7} x^{4}) + 15 x^{4} (14 x^{6}) + 15 x^{4} (84 x^{5}) + 15 x^{4} (280 x^{4}) + 15 x^{4} (560 x^{3}) + 15 x^{4} (672 x^{2}) + 15 x^{4} (448 x) + 15 x^{4} \cdot 128 + 80 x^{3} x^{7} + 80 x^{3} (14 x^{6}) + 80 x^{3} (84 x^{5}) + 80 x^{3} (280 x^{4}) + 80 x^{3} (560 x^{3}) + 80 x^{3} (672 x^{2}) + 80 x^{3} (448 x) + 80 x^{3} \cdot 128 + 160 x^{2} x^{7} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

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

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{7 + 4} + 15 x^{4} (14 x^{6}) + 15 x^{4} (84 x^{5}) + 15 x^{4} (280 x^{4}) + 15 x^{4} (560 x^{3}) + 15 x^{4} (672 x^{2}) + 15 x^{4} (448 x) + 15 x^{4} \cdot 128 + 80 x^{3} x^{7} + 80 x^{3} (14 x^{6}) + 80 x^{3} (84 x^{5}) + 80 x^{3} (280 x^{4}) + 80 x^{3} (560 x^{3}) + 80 x^{3} (672 x^{2}) + 80 x^{3} (448 x) + 80 x^{3} \cdot 128 + 160 x^{2} x^{7} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

$7$ और $4$ जोड़ें.

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 15 x^{4} (14 x^{6}) + 15 x^{4} (84 x^{5}) + 15 x^{4} (280 x^{4}) + 15 x^{4} (560 x^{3}) + 15 x^{4} (672 x^{2}) + 15 x^{4} (448 x) + 15 x^{4} \cdot 128 + 80 x^{3} x^{7} + 80 x^{3} (14 x^{6}) + 80 x^{3} (84 x^{5}) + 80 x^{3} (280 x^{4}) + 80 x^{3} (560 x^{3}) + 80 x^{3} (672 x^{2}) + 80 x^{3} (448 x) + 80 x^{3} \cdot 128 + 160 x^{2} x^{7} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

गुणन के क्रमविनिमेय गुण का उपयोग करके फिर से लिखें.

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 15 \cdot 14 x^{4} x^{6} + 15 x^{4} (84 x^{5}) + 15 x^{4} (280 x^{4}) + 15 x^{4} (560 x^{3}) + 15 x^{4} (672 x^{2}) + 15 x^{4} (448 x) + 15 x^{4} \cdot 128 + 80 x^{3} x^{7} + 80 x^{3} (14 x^{6}) + 80 x^{3} (84 x^{5}) + 80 x^{3} (280 x^{4}) + 80 x^{3} (560 x^{3}) + 80 x^{3} (672 x^{2}) + 80 x^{3} (448 x) + 80 x^{3} \cdot 128 + 160 x^{2} x^{7} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

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

और स्टेप्स के लिए टैप करें…

$x^{6}$ ले जाएं.

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 15 \cdot 14 (x^{6} x^{4}) + 15 x^{4} (84 x^{5}) + 15 x^{4} (280 x^{4}) + 15 x^{4} (560 x^{3}) + 15 x^{4} (672 x^{2}) + 15 x^{4} (448 x) + 15 x^{4} \cdot 128 + 80 x^{3} x^{7} + 80 x^{3} (14 x^{6}) + 80 x^{3} (84 x^{5}) + 80 x^{3} (280 x^{4}) + 80 x^{3} (560 x^{3}) + 80 x^{3} (672 x^{2}) + 80 x^{3} (448 x) + 80 x^{3} \cdot 128 + 160 x^{2} x^{7} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

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

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 15 \cdot 14 x^{6 + 4} + 15 x^{4} (84 x^{5}) + 15 x^{4} (280 x^{4}) + 15 x^{4} (560 x^{3}) + 15 x^{4} (672 x^{2}) + 15 x^{4} (448 x) + 15 x^{4} \cdot 128 + 80 x^{3} x^{7} + 80 x^{3} (14 x^{6}) + 80 x^{3} (84 x^{5}) + 80 x^{3} (280 x^{4}) + 80 x^{3} (560 x^{3}) + 80 x^{3} (672 x^{2}) + 80 x^{3} (448 x) + 80 x^{3} \cdot 128 + 160 x^{2} x^{7} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

$6$ और $4$ जोड़ें.

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 15 \cdot 14 x^{10} + 15 x^{4} (84 x^{5}) + 15 x^{4} (280 x^{4}) + 15 x^{4} (560 x^{3}) + 15 x^{4} (672 x^{2}) + 15 x^{4} (448 x) + 15 x^{4} \cdot 128 + 80 x^{3} x^{7} + 80 x^{3} (14 x^{6}) + 80 x^{3} (84 x^{5}) + 80 x^{3} (280 x^{4}) + 80 x^{3} (560 x^{3}) + 80 x^{3} (672 x^{2}) + 80 x^{3} (448 x) + 80 x^{3} \cdot 128 + 160 x^{2} x^{7} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

$15$ को $14$ से गुणा करें.

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 15 x^{4} (84 x^{5}) + 15 x^{4} (280 x^{4}) + 15 x^{4} (560 x^{3}) + 15 x^{4} (672 x^{2}) + 15 x^{4} (448 x) + 15 x^{4} \cdot 128 + 80 x^{3} x^{7} + 80 x^{3} (14 x^{6}) + 80 x^{3} (84 x^{5}) + 80 x^{3} (280 x^{4}) + 80 x^{3} (560 x^{3}) + 80 x^{3} (672 x^{2}) + 80 x^{3} (448 x) + 80 x^{3} \cdot 128 + 160 x^{2} x^{7} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

गुणन के क्रमविनिमेय गुण का उपयोग करके फिर से लिखें.

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 15 \cdot 84 x^{4} x^{5} + 15 x^{4} (280 x^{4}) + 15 x^{4} (560 x^{3}) + 15 x^{4} (672 x^{2}) + 15 x^{4} (448 x) + 15 x^{4} \cdot 128 + 80 x^{3} x^{7} + 80 x^{3} (14 x^{6}) + 80 x^{3} (84 x^{5}) + 80 x^{3} (280 x^{4}) + 80 x^{3} (560 x^{3}) + 80 x^{3} (672 x^{2}) + 80 x^{3} (448 x) + 80 x^{3} \cdot 128 + 160 x^{2} x^{7} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

घातांक जोड़कर $x^{4}$ को $x^{5}$ से गुणा करें.

और स्टेप्स के लिए टैप करें…

$x^{5}$ ले जाएं.

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 15 \cdot 84 (x^{5} x^{4}) + 15 x^{4} (280 x^{4}) + 15 x^{4} (560 x^{3}) + 15 x^{4} (672 x^{2}) + 15 x^{4} (448 x) + 15 x^{4} \cdot 128 + 80 x^{3} x^{7} + 80 x^{3} (14 x^{6}) + 80 x^{3} (84 x^{5}) + 80 x^{3} (280 x^{4}) + 80 x^{3} (560 x^{3}) + 80 x^{3} (672 x^{2}) + 80 x^{3} (448 x) + 80 x^{3} \cdot 128 + 160 x^{2} x^{7} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

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

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 15 \cdot 84 x^{5 + 4} + 15 x^{4} (280 x^{4}) + 15 x^{4} (560 x^{3}) + 15 x^{4} (672 x^{2}) + 15 x^{4} (448 x) + 15 x^{4} \cdot 128 + 80 x^{3} x^{7} + 80 x^{3} (14 x^{6}) + 80 x^{3} (84 x^{5}) + 80 x^{3} (280 x^{4}) + 80 x^{3} (560 x^{3}) + 80 x^{3} (672 x^{2}) + 80 x^{3} (448 x) + 80 x^{3} \cdot 128 + 160 x^{2} x^{7} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

$5$ और $4$ जोड़ें.

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 15 \cdot 84 x^{9} + 15 x^{4} (280 x^{4}) + 15 x^{4} (560 x^{3}) + 15 x^{4} (672 x^{2}) + 15 x^{4} (448 x) + 15 x^{4} \cdot 128 + 80 x^{3} x^{7} + 80 x^{3} (14 x^{6}) + 80 x^{3} (84 x^{5}) + 80 x^{3} (280 x^{4}) + 80 x^{3} (560 x^{3}) + 80 x^{3} (672 x^{2}) + 80 x^{3} (448 x) + 80 x^{3} \cdot 128 + 160 x^{2} x^{7} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

$15$ को $84$ से गुणा करें.

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 1260 x^{9} + 15 x^{4} (280 x^{4}) + 15 x^{4} (560 x^{3}) + 15 x^{4} (672 x^{2}) + 15 x^{4} (448 x) + 15 x^{4} \cdot 128 + 80 x^{3} x^{7} + 80 x^{3} (14 x^{6}) + 80 x^{3} (84 x^{5}) + 80 x^{3} (280 x^{4}) + 80 x^{3} (560 x^{3}) + 80 x^{3} (672 x^{2}) + 80 x^{3} (448 x) + 80 x^{3} \cdot 128 + 160 x^{2} x^{7} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

गुणन के क्रमविनिमेय गुण का उपयोग करके फिर से लिखें.

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 1260 x^{9} + 15 \cdot 280 x^{4} x^{4} + 15 x^{4} (560 x^{3}) + 15 x^{4} (672 x^{2}) + 15 x^{4} (448 x) + 15 x^{4} \cdot 128 + 80 x^{3} x^{7} + 80 x^{3} (14 x^{6}) + 80 x^{3} (84 x^{5}) + 80 x^{3} (280 x^{4}) + 80 x^{3} (560 x^{3}) + 80 x^{3} (672 x^{2}) + 80 x^{3} (448 x) + 80 x^{3} \cdot 128 + 160 x^{2} x^{7} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

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

और स्टेप्स के लिए टैप करें…

$x^{4}$ ले जाएं.

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 1260 x^{9} + 15 \cdot 280 (x^{4} x^{4}) + 15 x^{4} (560 x^{3}) + 15 x^{4} (672 x^{2}) + 15 x^{4} (448 x) + 15 x^{4} \cdot 128 + 80 x^{3} x^{7} + 80 x^{3} (14 x^{6}) + 80 x^{3} (84 x^{5}) + 80 x^{3} (280 x^{4}) + 80 x^{3} (560 x^{3}) + 80 x^{3} (672 x^{2}) + 80 x^{3} (448 x) + 80 x^{3} \cdot 128 + 160 x^{2} x^{7} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

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

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 1260 x^{9} + 15 \cdot 280 x^{4 + 4} + 15 x^{4} (560 x^{3}) + 15 x^{4} (672 x^{2}) + 15 x^{4} (448 x) + 15 x^{4} \cdot 128 + 80 x^{3} x^{7} + 80 x^{3} (14 x^{6}) + 80 x^{3} (84 x^{5}) + 80 x^{3} (280 x^{4}) + 80 x^{3} (560 x^{3}) + 80 x^{3} (672 x^{2}) + 80 x^{3} (448 x) + 80 x^{3} \cdot 128 + 160 x^{2} x^{7} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

$4$ और $4$ जोड़ें.

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 1260 x^{9} + 15 \cdot 280 x^{8} + 15 x^{4} (560 x^{3}) + 15 x^{4} (672 x^{2}) + 15 x^{4} (448 x) + 15 x^{4} \cdot 128 + 80 x^{3} x^{7} + 80 x^{3} (14 x^{6}) + 80 x^{3} (84 x^{5}) + 80 x^{3} (280 x^{4}) + 80 x^{3} (560 x^{3}) + 80 x^{3} (672 x^{2}) + 80 x^{3} (448 x) + 80 x^{3} \cdot 128 + 160 x^{2} x^{7} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

$15$ को $280$ से गुणा करें.

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 1260 x^{9} + 4200 x^{8} + 15 x^{4} (560 x^{3}) + 15 x^{4} (672 x^{2}) + 15 x^{4} (448 x) + 15 x^{4} \cdot 128 + 80 x^{3} x^{7} + 80 x^{3} (14 x^{6}) + 80 x^{3} (84 x^{5}) + 80 x^{3} (280 x^{4}) + 80 x^{3} (560 x^{3}) + 80 x^{3} (672 x^{2}) + 80 x^{3} (448 x) + 80 x^{3} \cdot 128 + 160 x^{2} x^{7} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

गुणन के क्रमविनिमेय गुण का उपयोग करके फिर से लिखें.

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 1260 x^{9} + 4200 x^{8} + 15 \cdot 560 x^{4} x^{3} + 15 x^{4} (672 x^{2}) + 15 x^{4} (448 x) + 15 x^{4} \cdot 128 + 80 x^{3} x^{7} + 80 x^{3} (14 x^{6}) + 80 x^{3} (84 x^{5}) + 80 x^{3} (280 x^{4}) + 80 x^{3} (560 x^{3}) + 80 x^{3} (672 x^{2}) + 80 x^{3} (448 x) + 80 x^{3} \cdot 128 + 160 x^{2} x^{7} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

घातांक जोड़कर $x^{4}$ को $x^{3}$ से गुणा करें.

और स्टेप्स के लिए टैप करें…

$x^{3}$ ले जाएं.

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 1260 x^{9} + 4200 x^{8} + 15 \cdot 560 (x^{3} x^{4}) + 15 x^{4} (672 x^{2}) + 15 x^{4} (448 x) + 15 x^{4} \cdot 128 + 80 x^{3} x^{7} + 80 x^{3} (14 x^{6}) + 80 x^{3} (84 x^{5}) + 80 x^{3} (280 x^{4}) + 80 x^{3} (560 x^{3}) + 80 x^{3} (672 x^{2}) + 80 x^{3} (448 x) + 80 x^{3} \cdot 128 + 160 x^{2} x^{7} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

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

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 1260 x^{9} + 4200 x^{8} + 15 \cdot 560 x^{3 + 4} + 15 x^{4} (672 x^{2}) + 15 x^{4} (448 x) + 15 x^{4} \cdot 128 + 80 x^{3} x^{7} + 80 x^{3} (14 x^{6}) + 80 x^{3} (84 x^{5}) + 80 x^{3} (280 x^{4}) + 80 x^{3} (560 x^{3}) + 80 x^{3} (672 x^{2}) + 80 x^{3} (448 x) + 80 x^{3} \cdot 128 + 160 x^{2} x^{7} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

$3$ और $4$ जोड़ें.

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 1260 x^{9} + 4200 x^{8} + 15 \cdot 560 x^{7} + 15 x^{4} (672 x^{2}) + 15 x^{4} (448 x) + 15 x^{4} \cdot 128 + 80 x^{3} x^{7} + 80 x^{3} (14 x^{6}) + 80 x^{3} (84 x^{5}) + 80 x^{3} (280 x^{4}) + 80 x^{3} (560 x^{3}) + 80 x^{3} (672 x^{2}) + 80 x^{3} (448 x) + 80 x^{3} \cdot 128 + 160 x^{2} x^{7} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

$15$ को $560$ से गुणा करें.

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 1260 x^{9} + 4200 x^{8} + 8400 x^{7} + 15 x^{4} (672 x^{2}) + 15 x^{4} (448 x) + 15 x^{4} \cdot 128 + 80 x^{3} x^{7} + 80 x^{3} (14 x^{6}) + 80 x^{3} (84 x^{5}) + 80 x^{3} (280 x^{4}) + 80 x^{3} (560 x^{3}) + 80 x^{3} (672 x^{2}) + 80 x^{3} (448 x) + 80 x^{3} \cdot 128 + 160 x^{2} x^{7} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

गुणन के क्रमविनिमेय गुण का उपयोग करके फिर से लिखें.

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 1260 x^{9} + 4200 x^{8} + 8400 x^{7} + 15 \cdot 672 x^{4} x^{2} + 15 x^{4} (448 x) + 15 x^{4} \cdot 128 + 80 x^{3} x^{7} + 80 x^{3} (14 x^{6}) + 80 x^{3} (84 x^{5}) + 80 x^{3} (280 x^{4}) + 80 x^{3} (560 x^{3}) + 80 x^{3} (672 x^{2}) + 80 x^{3} (448 x) + 80 x^{3} \cdot 128 + 160 x^{2} x^{7} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

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

और स्टेप्स के लिए टैप करें…

$x^{2}$ ले जाएं.

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 1260 x^{9} + 4200 x^{8} + 8400 x^{7} + 15 \cdot 672 (x^{2} x^{4}) + 15 x^{4} (448 x) + 15 x^{4} \cdot 128 + 80 x^{3} x^{7} + 80 x^{3} (14 x^{6}) + 80 x^{3} (84 x^{5}) + 80 x^{3} (280 x^{4}) + 80 x^{3} (560 x^{3}) + 80 x^{3} (672 x^{2}) + 80 x^{3} (448 x) + 80 x^{3} \cdot 128 + 160 x^{2} x^{7} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

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

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 1260 x^{9} + 4200 x^{8} + 8400 x^{7} + 15 \cdot 672 x^{2 + 4} + 15 x^{4} (448 x) + 15 x^{4} \cdot 128 + 80 x^{3} x^{7} + 80 x^{3} (14 x^{6}) + 80 x^{3} (84 x^{5}) + 80 x^{3} (280 x^{4}) + 80 x^{3} (560 x^{3}) + 80 x^{3} (672 x^{2}) + 80 x^{3} (448 x) + 80 x^{3} \cdot 128 + 160 x^{2} x^{7} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

$2$ और $4$ जोड़ें.

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 1260 x^{9} + 4200 x^{8} + 8400 x^{7} + 15 \cdot 672 x^{6} + 15 x^{4} (448 x) + 15 x^{4} \cdot 128 + 80 x^{3} x^{7} + 80 x^{3} (14 x^{6}) + 80 x^{3} (84 x^{5}) + 80 x^{3} (280 x^{4}) + 80 x^{3} (560 x^{3}) + 80 x^{3} (672 x^{2}) + 80 x^{3} (448 x) + 80 x^{3} \cdot 128 + 160 x^{2} x^{7} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

$15$ को $672$ से गुणा करें.

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 1260 x^{9} + 4200 x^{8} + 8400 x^{7} + 10080 x^{6} + 15 x^{4} (448 x) + 15 x^{4} \cdot 128 + 80 x^{3} x^{7} + 80 x^{3} (14 x^{6}) + 80 x^{3} (84 x^{5}) + 80 x^{3} (280 x^{4}) + 80 x^{3} (560 x^{3}) + 80 x^{3} (672 x^{2}) + 80 x^{3} (448 x) + 80 x^{3} \cdot 128 + 160 x^{2} x^{7} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

गुणन के क्रमविनिमेय गुण का उपयोग करके फिर से लिखें.

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 1260 x^{9} + 4200 x^{8} + 8400 x^{7} + 10080 x^{6} + 15 \cdot 448 x^{4} x + 15 x^{4} \cdot 128 + 80 x^{3} x^{7} + 80 x^{3} (14 x^{6}) + 80 x^{3} (84 x^{5}) + 80 x^{3} (280 x^{4}) + 80 x^{3} (560 x^{3}) + 80 x^{3} (672 x^{2}) + 80 x^{3} (448 x) + 80 x^{3} \cdot 128 + 160 x^{2} x^{7} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

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

और स्टेप्स के लिए टैप करें…

$x$ ले जाएं.

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 1260 x^{9} + 4200 x^{8} + 8400 x^{7} + 10080 x^{6} + 15 \cdot 448 (x \cdot x^{4}) + 15 x^{4} \cdot 128 + 80 x^{3} x^{7} + 80 x^{3} (14 x^{6}) + 80 x^{3} (84 x^{5}) + 80 x^{3} (280 x^{4}) + 80 x^{3} (560 x^{3}) + 80 x^{3} (672 x^{2}) + 80 x^{3} (448 x) + 80 x^{3} \cdot 128 + 160 x^{2} x^{7} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

$x$ को $x^{4}$ से गुणा करें.

और स्टेप्स के लिए टैप करें…

$x$ को $1$ के घात तक बढ़ाएं.

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 1260 x^{9} + 4200 x^{8} + 8400 x^{7} + 10080 x^{6} + 15 \cdot 448 (x^{1} x^{4}) + 15 x^{4} \cdot 128 + 80 x^{3} x^{7} + 80 x^{3} (14 x^{6}) + 80 x^{3} (84 x^{5}) + 80 x^{3} (280 x^{4}) + 80 x^{3} (560 x^{3}) + 80 x^{3} (672 x^{2}) + 80 x^{3} (448 x) + 80 x^{3} \cdot 128 + 160 x^{2} x^{7} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

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

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 1260 x^{9} + 4200 x^{8} + 8400 x^{7} + 10080 x^{6} + 15 \cdot 448 x^{1 + 4} + 15 x^{4} \cdot 128 + 80 x^{3} x^{7} + 80 x^{3} (14 x^{6}) + 80 x^{3} (84 x^{5}) + 80 x^{3} (280 x^{4}) + 80 x^{3} (560 x^{3}) + 80 x^{3} (672 x^{2}) + 80 x^{3} (448 x) + 80 x^{3} \cdot 128 + 160 x^{2} x^{7} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

$1$ और $4$ जोड़ें.

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 1260 x^{9} + 4200 x^{8} + 8400 x^{7} + 10080 x^{6} + 15 \cdot 448 x^{5} + 15 x^{4} \cdot 128 + 80 x^{3} x^{7} + 80 x^{3} (14 x^{6}) + 80 x^{3} (84 x^{5}) + 80 x^{3} (280 x^{4}) + 80 x^{3} (560 x^{3}) + 80 x^{3} (672 x^{2}) + 80 x^{3} (448 x) + 80 x^{3} \cdot 128 + 160 x^{2} x^{7} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

$15$ को $448$ से गुणा करें.

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 1260 x^{9} + 4200 x^{8} + 8400 x^{7} + 10080 x^{6} + 6720 x^{5} + 15 x^{4} \cdot 128 + 80 x^{3} x^{7} + 80 x^{3} (14 x^{6}) + 80 x^{3} (84 x^{5}) + 80 x^{3} (280 x^{4}) + 80 x^{3} (560 x^{3}) + 80 x^{3} (672 x^{2}) + 80 x^{3} (448 x) + 80 x^{3} \cdot 128 + 160 x^{2} x^{7} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

$128$ को $15$ से गुणा करें.

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 1260 x^{9} + 4200 x^{8} + 8400 x^{7} + 10080 x^{6} + 6720 x^{5} + 1920 x^{4} + 80 x^{3} x^{7} + 80 x^{3} (14 x^{6}) + 80 x^{3} (84 x^{5}) + 80 x^{3} (280 x^{4}) + 80 x^{3} (560 x^{3}) + 80 x^{3} (672 x^{2}) + 80 x^{3} (448 x) + 80 x^{3} \cdot 128 + 160 x^{2} x^{7} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

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

और स्टेप्स के लिए टैप करें…

$x^{7}$ ले जाएं.

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 1260 x^{9} + 4200 x^{8} + 8400 x^{7} + 10080 x^{6} + 6720 x^{5} + 1920 x^{4} + 80 (x^{7} x^{3}) + 80 x^{3} (14 x^{6}) + 80 x^{3} (84 x^{5}) + 80 x^{3} (280 x^{4}) + 80 x^{3} (560 x^{3}) + 80 x^{3} (672 x^{2}) + 80 x^{3} (448 x) + 80 x^{3} \cdot 128 + 160 x^{2} x^{7} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

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

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 1260 x^{9} + 4200 x^{8} + 8400 x^{7} + 10080 x^{6} + 6720 x^{5} + 1920 x^{4} + 80 x^{7 + 3} + 80 x^{3} (14 x^{6}) + 80 x^{3} (84 x^{5}) + 80 x^{3} (280 x^{4}) + 80 x^{3} (560 x^{3}) + 80 x^{3} (672 x^{2}) + 80 x^{3} (448 x) + 80 x^{3} \cdot 128 + 160 x^{2} x^{7} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

$7$ और $3$ जोड़ें.

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 1260 x^{9} + 4200 x^{8} + 8400 x^{7} + 10080 x^{6} + 6720 x^{5} + 1920 x^{4} + 80 x^{10} + 80 x^{3} (14 x^{6}) + 80 x^{3} (84 x^{5}) + 80 x^{3} (280 x^{4}) + 80 x^{3} (560 x^{3}) + 80 x^{3} (672 x^{2}) + 80 x^{3} (448 x) + 80 x^{3} \cdot 128 + 160 x^{2} x^{7} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

गुणन के क्रमविनिमेय गुण का उपयोग करके फिर से लिखें.

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 1260 x^{9} + 4200 x^{8} + 8400 x^{7} + 10080 x^{6} + 6720 x^{5} + 1920 x^{4} + 80 x^{10} + 80 \cdot 14 x^{3} x^{6} + 80 x^{3} (84 x^{5}) + 80 x^{3} (280 x^{4}) + 80 x^{3} (560 x^{3}) + 80 x^{3} (672 x^{2}) + 80 x^{3} (448 x) + 80 x^{3} \cdot 128 + 160 x^{2} x^{7} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

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

और स्टेप्स के लिए टैप करें…

$x^{6}$ ले जाएं.

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 1260 x^{9} + 4200 x^{8} + 8400 x^{7} + 10080 x^{6} + 6720 x^{5} + 1920 x^{4} + 80 x^{10} + 80 \cdot 14 (x^{6} x^{3}) + 80 x^{3} (84 x^{5}) + 80 x^{3} (280 x^{4}) + 80 x^{3} (560 x^{3}) + 80 x^{3} (672 x^{2}) + 80 x^{3} (448 x) + 80 x^{3} \cdot 128 + 160 x^{2} x^{7} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

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

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 1260 x^{9} + 4200 x^{8} + 8400 x^{7} + 10080 x^{6} + 6720 x^{5} + 1920 x^{4} + 80 x^{10} + 80 \cdot 14 x^{6 + 3} + 80 x^{3} (84 x^{5}) + 80 x^{3} (280 x^{4}) + 80 x^{3} (560 x^{3}) + 80 x^{3} (672 x^{2}) + 80 x^{3} (448 x) + 80 x^{3} \cdot 128 + 160 x^{2} x^{7} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

$6$ और $3$ जोड़ें.

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 1260 x^{9} + 4200 x^{8} + 8400 x^{7} + 10080 x^{6} + 6720 x^{5} + 1920 x^{4} + 80 x^{10} + 80 \cdot 14 x^{9} + 80 x^{3} (84 x^{5}) + 80 x^{3} (280 x^{4}) + 80 x^{3} (560 x^{3}) + 80 x^{3} (672 x^{2}) + 80 x^{3} (448 x) + 80 x^{3} \cdot 128 + 160 x^{2} x^{7} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

$80$ को $14$ से गुणा करें.

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 1260 x^{9} + 4200 x^{8} + 8400 x^{7} + 10080 x^{6} + 6720 x^{5} + 1920 x^{4} + 80 x^{10} + 1120 x^{9} + 80 x^{3} (84 x^{5}) + 80 x^{3} (280 x^{4}) + 80 x^{3} (560 x^{3}) + 80 x^{3} (672 x^{2}) + 80 x^{3} (448 x) + 80 x^{3} \cdot 128 + 160 x^{2} x^{7} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

गुणन के क्रमविनिमेय गुण का उपयोग करके फिर से लिखें.

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 1260 x^{9} + 4200 x^{8} + 8400 x^{7} + 10080 x^{6} + 6720 x^{5} + 1920 x^{4} + 80 x^{10} + 1120 x^{9} + 80 \cdot 84 x^{3} x^{5} + 80 x^{3} (280 x^{4}) + 80 x^{3} (560 x^{3}) + 80 x^{3} (672 x^{2}) + 80 x^{3} (448 x) + 80 x^{3} \cdot 128 + 160 x^{2} x^{7} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

घातांक जोड़कर $x^{3}$ को $x^{5}$ से गुणा करें.

और स्टेप्स के लिए टैप करें…

$x^{5}$ ले जाएं.

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 1260 x^{9} + 4200 x^{8} + 8400 x^{7} + 10080 x^{6} + 6720 x^{5} + 1920 x^{4} + 80 x^{10} + 1120 x^{9} + 80 \cdot 84 (x^{5} x^{3}) + 80 x^{3} (280 x^{4}) + 80 x^{3} (560 x^{3}) + 80 x^{3} (672 x^{2}) + 80 x^{3} (448 x) + 80 x^{3} \cdot 128 + 160 x^{2} x^{7} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

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

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 1260 x^{9} + 4200 x^{8} + 8400 x^{7} + 10080 x^{6} + 6720 x^{5} + 1920 x^{4} + 80 x^{10} + 1120 x^{9} + 80 \cdot 84 x^{5 + 3} + 80 x^{3} (280 x^{4}) + 80 x^{3} (560 x^{3}) + 80 x^{3} (672 x^{2}) + 80 x^{3} (448 x) + 80 x^{3} \cdot 128 + 160 x^{2} x^{7} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

$5$ और $3$ जोड़ें.

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 1260 x^{9} + 4200 x^{8} + 8400 x^{7} + 10080 x^{6} + 6720 x^{5} + 1920 x^{4} + 80 x^{10} + 1120 x^{9} + 80 \cdot 84 x^{8} + 80 x^{3} (280 x^{4}) + 80 x^{3} (560 x^{3}) + 80 x^{3} (672 x^{2}) + 80 x^{3} (448 x) + 80 x^{3} \cdot 128 + 160 x^{2} x^{7} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

$80$ को $84$ से गुणा करें.

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 1260 x^{9} + 4200 x^{8} + 8400 x^{7} + 10080 x^{6} + 6720 x^{5} + 1920 x^{4} + 80 x^{10} + 1120 x^{9} + 6720 x^{8} + 80 x^{3} (280 x^{4}) + 80 x^{3} (560 x^{3}) + 80 x^{3} (672 x^{2}) + 80 x^{3} (448 x) + 80 x^{3} \cdot 128 + 160 x^{2} x^{7} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

गुणन के क्रमविनिमेय गुण का उपयोग करके फिर से लिखें.

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 1260 x^{9} + 4200 x^{8} + 8400 x^{7} + 10080 x^{6} + 6720 x^{5} + 1920 x^{4} + 80 x^{10} + 1120 x^{9} + 6720 x^{8} + 80 \cdot 280 x^{3} x^{4} + 80 x^{3} (560 x^{3}) + 80 x^{3} (672 x^{2}) + 80 x^{3} (448 x) + 80 x^{3} \cdot 128 + 160 x^{2} x^{7} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

घातांक जोड़कर $x^{3}$ को $x^{4}$ से गुणा करें.

और स्टेप्स के लिए टैप करें…

$x^{4}$ ले जाएं.

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 1260 x^{9} + 4200 x^{8} + 8400 x^{7} + 10080 x^{6} + 6720 x^{5} + 1920 x^{4} + 80 x^{10} + 1120 x^{9} + 6720 x^{8} + 80 \cdot 280 (x^{4} x^{3}) + 80 x^{3} (560 x^{3}) + 80 x^{3} (672 x^{2}) + 80 x^{3} (448 x) + 80 x^{3} \cdot 128 + 160 x^{2} x^{7} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

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

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 1260 x^{9} + 4200 x^{8} + 8400 x^{7} + 10080 x^{6} + 6720 x^{5} + 1920 x^{4} + 80 x^{10} + 1120 x^{9} + 6720 x^{8} + 80 \cdot 280 x^{4 + 3} + 80 x^{3} (560 x^{3}) + 80 x^{3} (672 x^{2}) + 80 x^{3} (448 x) + 80 x^{3} \cdot 128 + 160 x^{2} x^{7} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

$4$ और $3$ जोड़ें.

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 1260 x^{9} + 4200 x^{8} + 8400 x^{7} + 10080 x^{6} + 6720 x^{5} + 1920 x^{4} + 80 x^{10} + 1120 x^{9} + 6720 x^{8} + 80 \cdot 280 x^{7} + 80 x^{3} (560 x^{3}) + 80 x^{3} (672 x^{2}) + 80 x^{3} (448 x) + 80 x^{3} \cdot 128 + 160 x^{2} x^{7} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

$80$ को $280$ से गुणा करें.

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 1260 x^{9} + 4200 x^{8} + 8400 x^{7} + 10080 x^{6} + 6720 x^{5} + 1920 x^{4} + 80 x^{10} + 1120 x^{9} + 6720 x^{8} + 22400 x^{7} + 80 x^{3} (560 x^{3}) + 80 x^{3} (672 x^{2}) + 80 x^{3} (448 x) + 80 x^{3} \cdot 128 + 160 x^{2} x^{7} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

गुणन के क्रमविनिमेय गुण का उपयोग करके फिर से लिखें.

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 1260 x^{9} + 4200 x^{8} + 8400 x^{7} + 10080 x^{6} + 6720 x^{5} + 1920 x^{4} + 80 x^{10} + 1120 x^{9} + 6720 x^{8} + 22400 x^{7} + 80 \cdot 560 x^{3} x^{3} + 80 x^{3} (672 x^{2}) + 80 x^{3} (448 x) + 80 x^{3} \cdot 128 + 160 x^{2} x^{7} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

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

और स्टेप्स के लिए टैप करें…

$x^{3}$ ले जाएं.

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 1260 x^{9} + 4200 x^{8} + 8400 x^{7} + 10080 x^{6} + 6720 x^{5} + 1920 x^{4} + 80 x^{10} + 1120 x^{9} + 6720 x^{8} + 22400 x^{7} + 80 \cdot 560 (x^{3} x^{3}) + 80 x^{3} (672 x^{2}) + 80 x^{3} (448 x) + 80 x^{3} \cdot 128 + 160 x^{2} x^{7} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

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

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 1260 x^{9} + 4200 x^{8} + 8400 x^{7} + 10080 x^{6} + 6720 x^{5} + 1920 x^{4} + 80 x^{10} + 1120 x^{9} + 6720 x^{8} + 22400 x^{7} + 80 \cdot 560 x^{3 + 3} + 80 x^{3} (672 x^{2}) + 80 x^{3} (448 x) + 80 x^{3} \cdot 128 + 160 x^{2} x^{7} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

$3$ और $3$ जोड़ें.

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 1260 x^{9} + 4200 x^{8} + 8400 x^{7} + 10080 x^{6} + 6720 x^{5} + 1920 x^{4} + 80 x^{10} + 1120 x^{9} + 6720 x^{8} + 22400 x^{7} + 80 \cdot 560 x^{6} + 80 x^{3} (672 x^{2}) + 80 x^{3} (448 x) + 80 x^{3} \cdot 128 + 160 x^{2} x^{7} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

$80$ को $560$ से गुणा करें.

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 1260 x^{9} + 4200 x^{8} + 8400 x^{7} + 10080 x^{6} + 6720 x^{5} + 1920 x^{4} + 80 x^{10} + 1120 x^{9} + 6720 x^{8} + 22400 x^{7} + 44800 x^{6} + 80 x^{3} (672 x^{2}) + 80 x^{3} (448 x) + 80 x^{3} \cdot 128 + 160 x^{2} x^{7} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

गुणन के क्रमविनिमेय गुण का उपयोग करके फिर से लिखें.

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 1260 x^{9} + 4200 x^{8} + 8400 x^{7} + 10080 x^{6} + 6720 x^{5} + 1920 x^{4} + 80 x^{10} + 1120 x^{9} + 6720 x^{8} + 22400 x^{7} + 44800 x^{6} + 80 \cdot 672 x^{3} x^{2} + 80 x^{3} (448 x) + 80 x^{3} \cdot 128 + 160 x^{2} x^{7} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

घातांक जोड़कर $x^{3}$ को $x^{2}$ से गुणा करें.

और स्टेप्स के लिए टैप करें…

$x^{2}$ ले जाएं.

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 1260 x^{9} + 4200 x^{8} + 8400 x^{7} + 10080 x^{6} + 6720 x^{5} + 1920 x^{4} + 80 x^{10} + 1120 x^{9} + 6720 x^{8} + 22400 x^{7} + 44800 x^{6} + 80 \cdot 672 (x^{2} x^{3}) + 80 x^{3} (448 x) + 80 x^{3} \cdot 128 + 160 x^{2} x^{7} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

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

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 1260 x^{9} + 4200 x^{8} + 8400 x^{7} + 10080 x^{6} + 6720 x^{5} + 1920 x^{4} + 80 x^{10} + 1120 x^{9} + 6720 x^{8} + 22400 x^{7} + 44800 x^{6} + 80 \cdot 672 x^{2 + 3} + 80 x^{3} (448 x) + 80 x^{3} \cdot 128 + 160 x^{2} x^{7} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

$2$ और $3$ जोड़ें.

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 1260 x^{9} + 4200 x^{8} + 8400 x^{7} + 10080 x^{6} + 6720 x^{5} + 1920 x^{4} + 80 x^{10} + 1120 x^{9} + 6720 x^{8} + 22400 x^{7} + 44800 x^{6} + 80 \cdot 672 x^{5} + 80 x^{3} (448 x) + 80 x^{3} \cdot 128 + 160 x^{2} x^{7} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

$80$ को $672$ से गुणा करें.

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 1260 x^{9} + 4200 x^{8} + 8400 x^{7} + 10080 x^{6} + 6720 x^{5} + 1920 x^{4} + 80 x^{10} + 1120 x^{9} + 6720 x^{8} + 22400 x^{7} + 44800 x^{6} + 53760 x^{5} + 80 x^{3} (448 x) + 80 x^{3} \cdot 128 + 160 x^{2} x^{7} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

गुणन के क्रमविनिमेय गुण का उपयोग करके फिर से लिखें.

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 1260 x^{9} + 4200 x^{8} + 8400 x^{7} + 10080 x^{6} + 6720 x^{5} + 1920 x^{4} + 80 x^{10} + 1120 x^{9} + 6720 x^{8} + 22400 x^{7} + 44800 x^{6} + 53760 x^{5} + 80 \cdot 448 x^{3} x + 80 x^{3} \cdot 128 + 160 x^{2} x^{7} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

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

और स्टेप्स के लिए टैप करें…

$x$ ले जाएं.

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 1260 x^{9} + 4200 x^{8} + 8400 x^{7} + 10080 x^{6} + 6720 x^{5} + 1920 x^{4} + 80 x^{10} + 1120 x^{9} + 6720 x^{8} + 22400 x^{7} + 44800 x^{6} + 53760 x^{5} + 80 \cdot 448 (x \cdot x^{3}) + 80 x^{3} \cdot 128 + 160 x^{2} x^{7} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

$x$ को $x^{3}$ से गुणा करें.

और स्टेप्स के लिए टैप करें…

$x$ को $1$ के घात तक बढ़ाएं.

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 1260 x^{9} + 4200 x^{8} + 8400 x^{7} + 10080 x^{6} + 6720 x^{5} + 1920 x^{4} + 80 x^{10} + 1120 x^{9} + 6720 x^{8} + 22400 x^{7} + 44800 x^{6} + 53760 x^{5} + 80 \cdot 448 (x^{1} x^{3}) + 80 x^{3} \cdot 128 + 160 x^{2} x^{7} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

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

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 1260 x^{9} + 4200 x^{8} + 8400 x^{7} + 10080 x^{6} + 6720 x^{5} + 1920 x^{4} + 80 x^{10} + 1120 x^{9} + 6720 x^{8} + 22400 x^{7} + 44800 x^{6} + 53760 x^{5} + 80 \cdot 448 x^{1 + 3} + 80 x^{3} \cdot 128 + 160 x^{2} x^{7} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

$1$ और $3$ जोड़ें.

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 1260 x^{9} + 4200 x^{8} + 8400 x^{7} + 10080 x^{6} + 6720 x^{5} + 1920 x^{4} + 80 x^{10} + 1120 x^{9} + 6720 x^{8} + 22400 x^{7} + 44800 x^{6} + 53760 x^{5} + 80 \cdot 448 x^{4} + 80 x^{3} \cdot 128 + 160 x^{2} x^{7} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

$80$ को $448$ से गुणा करें.

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 1260 x^{9} + 4200 x^{8} + 8400 x^{7} + 10080 x^{6} + 6720 x^{5} + 1920 x^{4} + 80 x^{10} + 1120 x^{9} + 6720 x^{8} + 22400 x^{7} + 44800 x^{6} + 53760 x^{5} + 35840 x^{4} + 80 x^{3} \cdot 128 + 160 x^{2} x^{7} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

$128$ को $80$ से गुणा करें.

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 1260 x^{9} + 4200 x^{8} + 8400 x^{7} + 10080 x^{6} + 6720 x^{5} + 1920 x^{4} + 80 x^{10} + 1120 x^{9} + 6720 x^{8} + 22400 x^{7} + 44800 x^{6} + 53760 x^{5} + 35840 x^{4} + 10240 x^{3} + 160 x^{2} x^{7} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

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

और स्टेप्स के लिए टैप करें…

$x^{7}$ ले जाएं.

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 1260 x^{9} + 4200 x^{8} + 8400 x^{7} + 10080 x^{6} + 6720 x^{5} + 1920 x^{4} + 80 x^{10} + 1120 x^{9} + 6720 x^{8} + 22400 x^{7} + 44800 x^{6} + 53760 x^{5} + 35840 x^{4} + 10240 x^{3} + 160 (x^{7} x^{2}) + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

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

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 1260 x^{9} + 4200 x^{8} + 8400 x^{7} + 10080 x^{6} + 6720 x^{5} + 1920 x^{4} + 80 x^{10} + 1120 x^{9} + 6720 x^{8} + 22400 x^{7} + 44800 x^{6} + 53760 x^{5} + 35840 x^{4} + 10240 x^{3} + 160 x^{7 + 2} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

$7$ और $2$ जोड़ें.

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 1260 x^{9} + 4200 x^{8} + 8400 x^{7} + 10080 x^{6} + 6720 x^{5} + 1920 x^{4} + 80 x^{10} + 1120 x^{9} + 6720 x^{8} + 22400 x^{7} + 44800 x^{6} + 53760 x^{5} + 35840 x^{4} + 10240 x^{3} + 160 x^{9} + 160 x^{2} (14 x^{6}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

गुणन के क्रमविनिमेय गुण का उपयोग करके फिर से लिखें.

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 1260 x^{9} + 4200 x^{8} + 8400 x^{7} + 10080 x^{6} + 6720 x^{5} + 1920 x^{4} + 80 x^{10} + 1120 x^{9} + 6720 x^{8} + 22400 x^{7} + 44800 x^{6} + 53760 x^{5} + 35840 x^{4} + 10240 x^{3} + 160 x^{9} + 160 \cdot 14 x^{2} x^{6} + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

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

और स्टेप्स के लिए टैप करें…

$x^{6}$ ले जाएं.

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 1260 x^{9} + 4200 x^{8} + 8400 x^{7} + 10080 x^{6} + 6720 x^{5} + 1920 x^{4} + 80 x^{10} + 1120 x^{9} + 6720 x^{8} + 22400 x^{7} + 44800 x^{6} + 53760 x^{5} + 35840 x^{4} + 10240 x^{3} + 160 x^{9} + 160 \cdot 14 (x^{6} x^{2}) + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

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

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 1260 x^{9} + 4200 x^{8} + 8400 x^{7} + 10080 x^{6} + 6720 x^{5} + 1920 x^{4} + 80 x^{10} + 1120 x^{9} + 6720 x^{8} + 22400 x^{7} + 44800 x^{6} + 53760 x^{5} + 35840 x^{4} + 10240 x^{3} + 160 x^{9} + 160 \cdot 14 x^{6 + 2} + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

$6$ और $2$ जोड़ें.

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 1260 x^{9} + 4200 x^{8} + 8400 x^{7} + 10080 x^{6} + 6720 x^{5} + 1920 x^{4} + 80 x^{10} + 1120 x^{9} + 6720 x^{8} + 22400 x^{7} + 44800 x^{6} + 53760 x^{5} + 35840 x^{4} + 10240 x^{3} + 160 x^{9} + 160 \cdot 14 x^{8} + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

$160$ को $14$ से गुणा करें.

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 1260 x^{9} + 4200 x^{8} + 8400 x^{7} + 10080 x^{6} + 6720 x^{5} + 1920 x^{4} + 80 x^{10} + 1120 x^{9} + 6720 x^{8} + 22400 x^{7} + 44800 x^{6} + 53760 x^{5} + 35840 x^{4} + 10240 x^{3} + 160 x^{9} + 2240 x^{8} + 160 x^{2} (84 x^{5}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

गुणन के क्रमविनिमेय गुण का उपयोग करके फिर से लिखें.

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 1260 x^{9} + 4200 x^{8} + 8400 x^{7} + 10080 x^{6} + 6720 x^{5} + 1920 x^{4} + 80 x^{10} + 1120 x^{9} + 6720 x^{8} + 22400 x^{7} + 44800 x^{6} + 53760 x^{5} + 35840 x^{4} + 10240 x^{3} + 160 x^{9} + 2240 x^{8} + 160 \cdot 84 x^{2} x^{5} + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

घातांक जोड़कर $x^{2}$ को $x^{5}$ से गुणा करें.

और स्टेप्स के लिए टैप करें…

$x^{5}$ ले जाएं.

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 1260 x^{9} + 4200 x^{8} + 8400 x^{7} + 10080 x^{6} + 6720 x^{5} + 1920 x^{4} + 80 x^{10} + 1120 x^{9} + 6720 x^{8} + 22400 x^{7} + 44800 x^{6} + 53760 x^{5} + 35840 x^{4} + 10240 x^{3} + 160 x^{9} + 2240 x^{8} + 160 \cdot 84 (x^{5} x^{2}) + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

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

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 1260 x^{9} + 4200 x^{8} + 8400 x^{7} + 10080 x^{6} + 6720 x^{5} + 1920 x^{4} + 80 x^{10} + 1120 x^{9} + 6720 x^{8} + 22400 x^{7} + 44800 x^{6} + 53760 x^{5} + 35840 x^{4} + 10240 x^{3} + 160 x^{9} + 2240 x^{8} + 160 \cdot 84 x^{5 + 2} + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

$5$ और $2$ जोड़ें.

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 1260 x^{9} + 4200 x^{8} + 8400 x^{7} + 10080 x^{6} + 6720 x^{5} + 1920 x^{4} + 80 x^{10} + 1120 x^{9} + 6720 x^{8} + 22400 x^{7} + 44800 x^{6} + 53760 x^{5} + 35840 x^{4} + 10240 x^{3} + 160 x^{9} + 2240 x^{8} + 160 \cdot 84 x^{7} + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

$160$ को $84$ से गुणा करें.

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 1260 x^{9} + 4200 x^{8} + 8400 x^{7} + 10080 x^{6} + 6720 x^{5} + 1920 x^{4} + 80 x^{10} + 1120 x^{9} + 6720 x^{8} + 22400 x^{7} + 44800 x^{6} + 53760 x^{5} + 35840 x^{4} + 10240 x^{3} + 160 x^{9} + 2240 x^{8} + 13440 x^{7} + 160 x^{2} (280 x^{4}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

गुणन के क्रमविनिमेय गुण का उपयोग करके फिर से लिखें.

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 1260 x^{9} + 4200 x^{8} + 8400 x^{7} + 10080 x^{6} + 6720 x^{5} + 1920 x^{4} + 80 x^{10} + 1120 x^{9} + 6720 x^{8} + 22400 x^{7} + 44800 x^{6} + 53760 x^{5} + 35840 x^{4} + 10240 x^{3} + 160 x^{9} + 2240 x^{8} + 13440 x^{7} + 160 \cdot 280 x^{2} x^{4} + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

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

और स्टेप्स के लिए टैप करें…

$x^{4}$ ले जाएं.

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 1260 x^{9} + 4200 x^{8} + 8400 x^{7} + 10080 x^{6} + 6720 x^{5} + 1920 x^{4} + 80 x^{10} + 1120 x^{9} + 6720 x^{8} + 22400 x^{7} + 44800 x^{6} + 53760 x^{5} + 35840 x^{4} + 10240 x^{3} + 160 x^{9} + 2240 x^{8} + 13440 x^{7} + 160 \cdot 280 (x^{4} x^{2}) + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

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

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 1260 x^{9} + 4200 x^{8} + 8400 x^{7} + 10080 x^{6} + 6720 x^{5} + 1920 x^{4} + 80 x^{10} + 1120 x^{9} + 6720 x^{8} + 22400 x^{7} + 44800 x^{6} + 53760 x^{5} + 35840 x^{4} + 10240 x^{3} + 160 x^{9} + 2240 x^{8} + 13440 x^{7} + 160 \cdot 280 x^{4 + 2} + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

$4$ और $2$ जोड़ें.

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 1260 x^{9} + 4200 x^{8} + 8400 x^{7} + 10080 x^{6} + 6720 x^{5} + 1920 x^{4} + 80 x^{10} + 1120 x^{9} + 6720 x^{8} + 22400 x^{7} + 44800 x^{6} + 53760 x^{5} + 35840 x^{4} + 10240 x^{3} + 160 x^{9} + 2240 x^{8} + 13440 x^{7} + 160 \cdot 280 x^{6} + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

$160$ को $280$ से गुणा करें.

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 1260 x^{9} + 4200 x^{8} + 8400 x^{7} + 10080 x^{6} + 6720 x^{5} + 1920 x^{4} + 80 x^{10} + 1120 x^{9} + 6720 x^{8} + 22400 x^{7} + 44800 x^{6} + 53760 x^{5} + 35840 x^{4} + 10240 x^{3} + 160 x^{9} + 2240 x^{8} + 13440 x^{7} + 44800 x^{6} + 160 x^{2} (560 x^{3}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

गुणन के क्रमविनिमेय गुण का उपयोग करके फिर से लिखें.

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 1260 x^{9} + 4200 x^{8} + 8400 x^{7} + 10080 x^{6} + 6720 x^{5} + 1920 x^{4} + 80 x^{10} + 1120 x^{9} + 6720 x^{8} + 22400 x^{7} + 44800 x^{6} + 53760 x^{5} + 35840 x^{4} + 10240 x^{3} + 160 x^{9} + 2240 x^{8} + 13440 x^{7} + 44800 x^{6} + 160 \cdot 560 x^{2} x^{3} + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

घातांक जोड़कर $x^{2}$ को $x^{3}$ से गुणा करें.

और स्टेप्स के लिए टैप करें…

$x^{3}$ ले जाएं.

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 1260 x^{9} + 4200 x^{8} + 8400 x^{7} + 10080 x^{6} + 6720 x^{5} + 1920 x^{4} + 80 x^{10} + 1120 x^{9} + 6720 x^{8} + 22400 x^{7} + 44800 x^{6} + 53760 x^{5} + 35840 x^{4} + 10240 x^{3} + 160 x^{9} + 2240 x^{8} + 13440 x^{7} + 44800 x^{6} + 160 \cdot 560 (x^{3} x^{2}) + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

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

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 1260 x^{9} + 4200 x^{8} + 8400 x^{7} + 10080 x^{6} + 6720 x^{5} + 1920 x^{4} + 80 x^{10} + 1120 x^{9} + 6720 x^{8} + 22400 x^{7} + 44800 x^{6} + 53760 x^{5} + 35840 x^{4} + 10240 x^{3} + 160 x^{9} + 2240 x^{8} + 13440 x^{7} + 44800 x^{6} + 160 \cdot 560 x^{3 + 2} + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

$3$ और $2$ जोड़ें.

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 1260 x^{9} + 4200 x^{8} + 8400 x^{7} + 10080 x^{6} + 6720 x^{5} + 1920 x^{4} + 80 x^{10} + 1120 x^{9} + 6720 x^{8} + 22400 x^{7} + 44800 x^{6} + 53760 x^{5} + 35840 x^{4} + 10240 x^{3} + 160 x^{9} + 2240 x^{8} + 13440 x^{7} + 44800 x^{6} + 160 \cdot 560 x^{5} + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

$160$ को $560$ से गुणा करें.

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 1260 x^{9} + 4200 x^{8} + 8400 x^{7} + 10080 x^{6} + 6720 x^{5} + 1920 x^{4} + 80 x^{10} + 1120 x^{9} + 6720 x^{8} + 22400 x^{7} + 44800 x^{6} + 53760 x^{5} + 35840 x^{4} + 10240 x^{3} + 160 x^{9} + 2240 x^{8} + 13440 x^{7} + 44800 x^{6} + 89600 x^{5} + 160 x^{2} (672 x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

गुणन के क्रमविनिमेय गुण का उपयोग करके फिर से लिखें.

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 1260 x^{9} + 4200 x^{8} + 8400 x^{7} + 10080 x^{6} + 6720 x^{5} + 1920 x^{4} + 80 x^{10} + 1120 x^{9} + 6720 x^{8} + 22400 x^{7} + 44800 x^{6} + 53760 x^{5} + 35840 x^{4} + 10240 x^{3} + 160 x^{9} + 2240 x^{8} + 13440 x^{7} + 44800 x^{6} + 89600 x^{5} + 160 \cdot 672 x^{2} x^{2} + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

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

और स्टेप्स के लिए टैप करें…

$x^{2}$ ले जाएं.

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 1260 x^{9} + 4200 x^{8} + 8400 x^{7} + 10080 x^{6} + 6720 x^{5} + 1920 x^{4} + 80 x^{10} + 1120 x^{9} + 6720 x^{8} + 22400 x^{7} + 44800 x^{6} + 53760 x^{5} + 35840 x^{4} + 10240 x^{3} + 160 x^{9} + 2240 x^{8} + 13440 x^{7} + 44800 x^{6} + 89600 x^{5} + 160 \cdot 672 (x^{2} x^{2}) + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

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

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 1260 x^{9} + 4200 x^{8} + 8400 x^{7} + 10080 x^{6} + 6720 x^{5} + 1920 x^{4} + 80 x^{10} + 1120 x^{9} + 6720 x^{8} + 22400 x^{7} + 44800 x^{6} + 53760 x^{5} + 35840 x^{4} + 10240 x^{3} + 160 x^{9} + 2240 x^{8} + 13440 x^{7} + 44800 x^{6} + 89600 x^{5} + 160 \cdot 672 x^{2 + 2} + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

$2$ और $2$ जोड़ें.

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 1260 x^{9} + 4200 x^{8} + 8400 x^{7} + 10080 x^{6} + 6720 x^{5} + 1920 x^{4} + 80 x^{10} + 1120 x^{9} + 6720 x^{8} + 22400 x^{7} + 44800 x^{6} + 53760 x^{5} + 35840 x^{4} + 10240 x^{3} + 160 x^{9} + 2240 x^{8} + 13440 x^{7} + 44800 x^{6} + 89600 x^{5} + 160 \cdot 672 x^{4} + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

$160$ को $672$ से गुणा करें.

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 1260 x^{9} + 4200 x^{8} + 8400 x^{7} + 10080 x^{6} + 6720 x^{5} + 1920 x^{4} + 80 x^{10} + 1120 x^{9} + 6720 x^{8} + 22400 x^{7} + 44800 x^{6} + 53760 x^{5} + 35840 x^{4} + 10240 x^{3} + 160 x^{9} + 2240 x^{8} + 13440 x^{7} + 44800 x^{6} + 89600 x^{5} + 107520 x^{4} + 160 x^{2} (448 x) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

गुणन के क्रमविनिमेय गुण का उपयोग करके फिर से लिखें.

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 1260 x^{9} + 4200 x^{8} + 8400 x^{7} + 10080 x^{6} + 6720 x^{5} + 1920 x^{4} + 80 x^{10} + 1120 x^{9} + 6720 x^{8} + 22400 x^{7} + 44800 x^{6} + 53760 x^{5} + 35840 x^{4} + 10240 x^{3} + 160 x^{9} + 2240 x^{8} + 13440 x^{7} + 44800 x^{6} + 89600 x^{5} + 107520 x^{4} + 160 \cdot 448 x^{2} x + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

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

और स्टेप्स के लिए टैप करें…

$x$ ले जाएं.

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 1260 x^{9} + 4200 x^{8} + 8400 x^{7} + 10080 x^{6} + 6720 x^{5} + 1920 x^{4} + 80 x^{10} + 1120 x^{9} + 6720 x^{8} + 22400 x^{7} + 44800 x^{6} + 53760 x^{5} + 35840 x^{4} + 10240 x^{3} + 160 x^{9} + 2240 x^{8} + 13440 x^{7} + 44800 x^{6} + 89600 x^{5} + 107520 x^{4} + 160 \cdot 448 (x \cdot x^{2}) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

$x$ को $x^{2}$ से गुणा करें.

और स्टेप्स के लिए टैप करें…

$x$ को $1$ के घात तक बढ़ाएं.

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 1260 x^{9} + 4200 x^{8} + 8400 x^{7} + 10080 x^{6} + 6720 x^{5} + 1920 x^{4} + 80 x^{10} + 1120 x^{9} + 6720 x^{8} + 22400 x^{7} + 44800 x^{6} + 53760 x^{5} + 35840 x^{4} + 10240 x^{3} + 160 x^{9} + 2240 x^{8} + 13440 x^{7} + 44800 x^{6} + 89600 x^{5} + 107520 x^{4} + 160 \cdot 448 (x^{1} x^{2}) + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

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

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 1260 x^{9} + 4200 x^{8} + 8400 x^{7} + 10080 x^{6} + 6720 x^{5} + 1920 x^{4} + 80 x^{10} + 1120 x^{9} + 6720 x^{8} + 22400 x^{7} + 44800 x^{6} + 53760 x^{5} + 35840 x^{4} + 10240 x^{3} + 160 x^{9} + 2240 x^{8} + 13440 x^{7} + 44800 x^{6} + 89600 x^{5} + 107520 x^{4} + 160 \cdot 448 x^{1 + 2} + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

$1$ और $2$ जोड़ें.

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 1260 x^{9} + 4200 x^{8} + 8400 x^{7} + 10080 x^{6} + 6720 x^{5} + 1920 x^{4} + 80 x^{10} + 1120 x^{9} + 6720 x^{8} + 22400 x^{7} + 44800 x^{6} + 53760 x^{5} + 35840 x^{4} + 10240 x^{3} + 160 x^{9} + 2240 x^{8} + 13440 x^{7} + 44800 x^{6} + 89600 x^{5} + 107520 x^{4} + 160 \cdot 448 x^{3} + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

$160$ को $448$ से गुणा करें.

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 1260 x^{9} + 4200 x^{8} + 8400 x^{7} + 10080 x^{6} + 6720 x^{5} + 1920 x^{4} + 80 x^{10} + 1120 x^{9} + 6720 x^{8} + 22400 x^{7} + 44800 x^{6} + 53760 x^{5} + 35840 x^{4} + 10240 x^{3} + 160 x^{9} + 2240 x^{8} + 13440 x^{7} + 44800 x^{6} + 89600 x^{5} + 107520 x^{4} + 71680 x^{3} + 160 x^{2} \cdot 128 - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

$128$ को $160$ से गुणा करें.

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 1260 x^{9} + 4200 x^{8} + 8400 x^{7} + 10080 x^{6} + 6720 x^{5} + 1920 x^{4} + 80 x^{10} + 1120 x^{9} + 6720 x^{8} + 22400 x^{7} + 44800 x^{6} + 53760 x^{5} + 35840 x^{4} + 10240 x^{3} + 160 x^{9} + 2240 x^{8} + 13440 x^{7} + 44800 x^{6} + 89600 x^{5} + 107520 x^{4} + 71680 x^{3} + 20480 x^{2} - 256 x^{7} - 256 (14 x^{6}) - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

$14$ को $- 256$ से गुणा करें.

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 1260 x^{9} + 4200 x^{8} + 8400 x^{7} + 10080 x^{6} + 6720 x^{5} + 1920 x^{4} + 80 x^{10} + 1120 x^{9} + 6720 x^{8} + 22400 x^{7} + 44800 x^{6} + 53760 x^{5} + 35840 x^{4} + 10240 x^{3} + 160 x^{9} + 2240 x^{8} + 13440 x^{7} + 44800 x^{6} + 89600 x^{5} + 107520 x^{4} + 71680 x^{3} + 20480 x^{2} - 256 x^{7} - 3584 x^{6} - 256 (84 x^{5}) - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

$84$ को $- 256$ से गुणा करें.

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 1260 x^{9} + 4200 x^{8} + 8400 x^{7} + 10080 x^{6} + 6720 x^{5} + 1920 x^{4} + 80 x^{10} + 1120 x^{9} + 6720 x^{8} + 22400 x^{7} + 44800 x^{6} + 53760 x^{5} + 35840 x^{4} + 10240 x^{3} + 160 x^{9} + 2240 x^{8} + 13440 x^{7} + 44800 x^{6} + 89600 x^{5} + 107520 x^{4} + 71680 x^{3} + 20480 x^{2} - 256 x^{7} - 3584 x^{6} - 21504 x^{5} - 256 (280 x^{4}) - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

$280$ को $- 256$ से गुणा करें.

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 1260 x^{9} + 4200 x^{8} + 8400 x^{7} + 10080 x^{6} + 6720 x^{5} + 1920 x^{4} + 80 x^{10} + 1120 x^{9} + 6720 x^{8} + 22400 x^{7} + 44800 x^{6} + 53760 x^{5} + 35840 x^{4} + 10240 x^{3} + 160 x^{9} + 2240 x^{8} + 13440 x^{7} + 44800 x^{6} + 89600 x^{5} + 107520 x^{4} + 71680 x^{3} + 20480 x^{2} - 256 x^{7} - 3584 x^{6} - 21504 x^{5} - 71680 x^{4} - 256 (560 x^{3}) - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

$560$ को $- 256$ से गुणा करें.

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 1260 x^{9} + 4200 x^{8} + 8400 x^{7} + 10080 x^{6} + 6720 x^{5} + 1920 x^{4} + 80 x^{10} + 1120 x^{9} + 6720 x^{8} + 22400 x^{7} + 44800 x^{6} + 53760 x^{5} + 35840 x^{4} + 10240 x^{3} + 160 x^{9} + 2240 x^{8} + 13440 x^{7} + 44800 x^{6} + 89600 x^{5} + 107520 x^{4} + 71680 x^{3} + 20480 x^{2} - 256 x^{7} - 3584 x^{6} - 21504 x^{5} - 71680 x^{4} - 143360 x^{3} - 256 (672 x^{2}) - 256 (448 x) - 256 \cdot 128$

$672$ को $- 256$ से गुणा करें.

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 1260 x^{9} + 4200 x^{8} + 8400 x^{7} + 10080 x^{6} + 6720 x^{5} + 1920 x^{4} + 80 x^{10} + 1120 x^{9} + 6720 x^{8} + 22400 x^{7} + 44800 x^{6} + 53760 x^{5} + 35840 x^{4} + 10240 x^{3} + 160 x^{9} + 2240 x^{8} + 13440 x^{7} + 44800 x^{6} + 89600 x^{5} + 107520 x^{4} + 71680 x^{3} + 20480 x^{2} - 256 x^{7} - 3584 x^{6} - 21504 x^{5} - 71680 x^{4} - 143360 x^{3} - 172032 x^{2} - 256 (448 x) - 256 \cdot 128$

$448$ को $- 256$ से गुणा करें.

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 1260 x^{9} + 4200 x^{8} + 8400 x^{7} + 10080 x^{6} + 6720 x^{5} + 1920 x^{4} + 80 x^{10} + 1120 x^{9} + 6720 x^{8} + 22400 x^{7} + 44800 x^{6} + 53760 x^{5} + 35840 x^{4} + 10240 x^{3} + 160 x^{9} + 2240 x^{8} + 13440 x^{7} + 44800 x^{6} + 89600 x^{5} + 107520 x^{4} + 71680 x^{3} + 20480 x^{2} - 256 x^{7} - 3584 x^{6} - 21504 x^{5} - 71680 x^{4} - 143360 x^{3} - 172032 x^{2} - 114688 x - 256 \cdot 128$

$- 256$ को $128$ से गुणा करें.

$x^{12} + 14 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 15 x^{11} + 210 x^{10} + 1260 x^{9} + 4200 x^{8} + 8400 x^{7} + 10080 x^{6} + 6720 x^{5} + 1920 x^{4} + 80 x^{10} + 1120 x^{9} + 6720 x^{8} + 22400 x^{7} + 44800 x^{6} + 53760 x^{5} + 35840 x^{4} + 10240 x^{3} + 160 x^{9} + 2240 x^{8} + 13440 x^{7} + 44800 x^{6} + 89600 x^{5} + 107520 x^{4} + 71680 x^{3} + 20480 x^{2} - 256 x^{7} - 3584 x^{6} - 21504 x^{5} - 71680 x^{4} - 143360 x^{3} - 172032 x^{2} - 114688 x - 32768$

पदों को जोड़कर सरल करें.

और स्टेप्स के लिए टैप करें…

$14 x^{11}$ और $15 x^{11}$ जोड़ें.

$x^{12} + 29 x^{11} + 84 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 210 x^{10} + 1260 x^{9} + 4200 x^{8} + 8400 x^{7} + 10080 x^{6} + 6720 x^{5} + 1920 x^{4} + 80 x^{10} + 1120 x^{9} + 6720 x^{8} + 22400 x^{7} + 44800 x^{6} + 53760 x^{5} + 35840 x^{4} + 10240 x^{3} + 160 x^{9} + 2240 x^{8} + 13440 x^{7} + 44800 x^{6} + 89600 x^{5} + 107520 x^{4} + 71680 x^{3} + 20480 x^{2} - 256 x^{7} - 3584 x^{6} - 21504 x^{5} - 71680 x^{4} - 143360 x^{3} - 172032 x^{2} - 114688 x - 32768$

$84 x^{10}$ और $210 x^{10}$ जोड़ें.

$x^{12} + 29 x^{11} + 294 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 1260 x^{9} + 4200 x^{8} + 8400 x^{7} + 10080 x^{6} + 6720 x^{5} + 1920 x^{4} + 80 x^{10} + 1120 x^{9} + 6720 x^{8} + 22400 x^{7} + 44800 x^{6} + 53760 x^{5} + 35840 x^{4} + 10240 x^{3} + 160 x^{9} + 2240 x^{8} + 13440 x^{7} + 44800 x^{6} + 89600 x^{5} + 107520 x^{4} + 71680 x^{3} + 20480 x^{2} - 256 x^{7} - 3584 x^{6} - 21504 x^{5} - 71680 x^{4} - 143360 x^{3} - 172032 x^{2} - 114688 x - 32768$

$294 x^{10}$ और $80 x^{10}$ जोड़ें.

$x^{12} + 29 x^{11} + 374 x^{10} + 280 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 1260 x^{9} + 4200 x^{8} + 8400 x^{7} + 10080 x^{6} + 6720 x^{5} + 1920 x^{4} + 1120 x^{9} + 6720 x^{8} + 22400 x^{7} + 44800 x^{6} + 53760 x^{5} + 35840 x^{4} + 10240 x^{3} + 160 x^{9} + 2240 x^{8} + 13440 x^{7} + 44800 x^{6} + 89600 x^{5} + 107520 x^{4} + 71680 x^{3} + 20480 x^{2} - 256 x^{7} - 3584 x^{6} - 21504 x^{5} - 71680 x^{4} - 143360 x^{3} - 172032 x^{2} - 114688 x - 32768$

$280 x^{9}$ और $1260 x^{9}$ जोड़ें.

$x^{12} + 29 x^{11} + 374 x^{10} + 1540 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 4200 x^{8} + 8400 x^{7} + 10080 x^{6} + 6720 x^{5} + 1920 x^{4} + 1120 x^{9} + 6720 x^{8} + 22400 x^{7} + 44800 x^{6} + 53760 x^{5} + 35840 x^{4} + 10240 x^{3} + 160 x^{9} + 2240 x^{8} + 13440 x^{7} + 44800 x^{6} + 89600 x^{5} + 107520 x^{4} + 71680 x^{3} + 20480 x^{2} - 256 x^{7} - 3584 x^{6} - 21504 x^{5} - 71680 x^{4} - 143360 x^{3} - 172032 x^{2} - 114688 x - 32768$

$1540 x^{9}$ और $1120 x^{9}$ जोड़ें.

$x^{12} + 29 x^{11} + 374 x^{10} + 2660 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 4200 x^{8} + 8400 x^{7} + 10080 x^{6} + 6720 x^{5} + 1920 x^{4} + 6720 x^{8} + 22400 x^{7} + 44800 x^{6} + 53760 x^{5} + 35840 x^{4} + 10240 x^{3} + 160 x^{9} + 2240 x^{8} + 13440 x^{7} + 44800 x^{6} + 89600 x^{5} + 107520 x^{4} + 71680 x^{3} + 20480 x^{2} - 256 x^{7} - 3584 x^{6} - 21504 x^{5} - 71680 x^{4} - 143360 x^{3} - 172032 x^{2} - 114688 x - 32768$

$2660 x^{9}$ और $160 x^{9}$ जोड़ें.

$x^{12} + 29 x^{11} + 374 x^{10} + 2820 x^{9} + 560 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 4200 x^{8} + 8400 x^{7} + 10080 x^{6} + 6720 x^{5} + 1920 x^{4} + 6720 x^{8} + 22400 x^{7} + 44800 x^{6} + 53760 x^{5} + 35840 x^{4} + 10240 x^{3} + 2240 x^{8} + 13440 x^{7} + 44800 x^{6} + 89600 x^{5} + 107520 x^{4} + 71680 x^{3} + 20480 x^{2} - 256 x^{7} - 3584 x^{6} - 21504 x^{5} - 71680 x^{4} - 143360 x^{3} - 172032 x^{2} - 114688 x - 32768$

$560 x^{8}$ और $4200 x^{8}$ जोड़ें.

$x^{12} + 29 x^{11} + 374 x^{10} + 2820 x^{9} + 4760 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 8400 x^{7} + 10080 x^{6} + 6720 x^{5} + 1920 x^{4} + 6720 x^{8} + 22400 x^{7} + 44800 x^{6} + 53760 x^{5} + 35840 x^{4} + 10240 x^{3} + 2240 x^{8} + 13440 x^{7} + 44800 x^{6} + 89600 x^{5} + 107520 x^{4} + 71680 x^{3} + 20480 x^{2} - 256 x^{7} - 3584 x^{6} - 21504 x^{5} - 71680 x^{4} - 143360 x^{3} - 172032 x^{2} - 114688 x - 32768$

$4760 x^{8}$ और $6720 x^{8}$ जोड़ें.

$x^{12} + 29 x^{11} + 374 x^{10} + 2820 x^{9} + 11480 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 8400 x^{7} + 10080 x^{6} + 6720 x^{5} + 1920 x^{4} + 22400 x^{7} + 44800 x^{6} + 53760 x^{5} + 35840 x^{4} + 10240 x^{3} + 2240 x^{8} + 13440 x^{7} + 44800 x^{6} + 89600 x^{5} + 107520 x^{4} + 71680 x^{3} + 20480 x^{2} - 256 x^{7} - 3584 x^{6} - 21504 x^{5} - 71680 x^{4} - 143360 x^{3} - 172032 x^{2} - 114688 x - 32768$

$11480 x^{8}$ और $2240 x^{8}$ जोड़ें.

$x^{12} + 29 x^{11} + 374 x^{10} + 2820 x^{9} + 13720 x^{8} + 672 x^{7} + 448 x^{6} + 128 x^{5} + 8400 x^{7} + 10080 x^{6} + 6720 x^{5} + 1920 x^{4} + 22400 x^{7} + 44800 x^{6} + 53760 x^{5} + 35840 x^{4} + 10240 x^{3} + 13440 x^{7} + 44800 x^{6} + 89600 x^{5} + 107520 x^{4} + 71680 x^{3} + 20480 x^{2} - 256 x^{7} - 3584 x^{6} - 21504 x^{5} - 71680 x^{4} - 143360 x^{3} - 172032 x^{2} - 114688 x - 32768$

$672 x^{7}$ और $8400 x^{7}$ जोड़ें.

$x^{12} + 29 x^{11} + 374 x^{10} + 2820 x^{9} + 13720 x^{8} + 9072 x^{7} + 448 x^{6} + 128 x^{5} + 10080 x^{6} + 6720 x^{5} + 1920 x^{4} + 22400 x^{7} + 44800 x^{6} + 53760 x^{5} + 35840 x^{4} + 10240 x^{3} + 13440 x^{7} + 44800 x^{6} + 89600 x^{5} + 107520 x^{4} + 71680 x^{3} + 20480 x^{2} - 256 x^{7} - 3584 x^{6} - 21504 x^{5} - 71680 x^{4} - 143360 x^{3} - 172032 x^{2} - 114688 x - 32768$

$9072 x^{7}$ और $22400 x^{7}$ जोड़ें.

$x^{12} + 29 x^{11} + 374 x^{10} + 2820 x^{9} + 13720 x^{8} + 31472 x^{7} + 448 x^{6} + 128 x^{5} + 10080 x^{6} + 6720 x^{5} + 1920 x^{4} + 44800 x^{6} + 53760 x^{5} + 35840 x^{4} + 10240 x^{3} + 13440 x^{7} + 44800 x^{6} + 89600 x^{5} + 107520 x^{4} + 71680 x^{3} + 20480 x^{2} - 256 x^{7} - 3584 x^{6} - 21504 x^{5} - 71680 x^{4} - 143360 x^{3} - 172032 x^{2} - 114688 x - 32768$

$31472 x^{7}$ और $13440 x^{7}$ जोड़ें.

$x^{12} + 29 x^{11} + 374 x^{10} + 2820 x^{9} + 13720 x^{8} + 44912 x^{7} + 448 x^{6} + 128 x^{5} + 10080 x^{6} + 6720 x^{5} + 1920 x^{4} + 44800 x^{6} + 53760 x^{5} + 35840 x^{4} + 10240 x^{3} + 44800 x^{6} + 89600 x^{5} + 107520 x^{4} + 71680 x^{3} + 20480 x^{2} - 256 x^{7} - 3584 x^{6} - 21504 x^{5} - 71680 x^{4} - 143360 x^{3} - 172032 x^{2} - 114688 x - 32768$

$44912 x^{7}$ में से $256 x^{7}$ घटाएं.

$x^{12} + 29 x^{11} + 374 x^{10} + 2820 x^{9} + 13720 x^{8} + 44656 x^{7} + 448 x^{6} + 128 x^{5} + 10080 x^{6} + 6720 x^{5} + 1920 x^{4} + 44800 x^{6} + 53760 x^{5} + 35840 x^{4} + 10240 x^{3} + 44800 x^{6} + 89600 x^{5} + 107520 x^{4} + 71680 x^{3} + 20480 x^{2} - 3584 x^{6} - 21504 x^{5} - 71680 x^{4} - 143360 x^{3} - 172032 x^{2} - 114688 x - 32768$

$448 x^{6}$ और $10080 x^{6}$ जोड़ें.

$x^{12} + 29 x^{11} + 374 x^{10} + 2820 x^{9} + 13720 x^{8} + 44656 x^{7} + 10528 x^{6} + 128 x^{5} + 6720 x^{5} + 1920 x^{4} + 44800 x^{6} + 53760 x^{5} + 35840 x^{4} + 10240 x^{3} + 44800 x^{6} + 89600 x^{5} + 107520 x^{4} + 71680 x^{3} + 20480 x^{2} - 3584 x^{6} - 21504 x^{5} - 71680 x^{4} - 143360 x^{3} - 172032 x^{2} - 114688 x - 32768$

$10528 x^{6}$ और $44800 x^{6}$ जोड़ें.

$x^{12} + 29 x^{11} + 374 x^{10} + 2820 x^{9} + 13720 x^{8} + 44656 x^{7} + 55328 x^{6} + 128 x^{5} + 6720 x^{5} + 1920 x^{4} + 53760 x^{5} + 35840 x^{4} + 10240 x^{3} + 44800 x^{6} + 89600 x^{5} + 107520 x^{4} + 71680 x^{3} + 20480 x^{2} - 3584 x^{6} - 21504 x^{5} - 71680 x^{4} - 143360 x^{3} - 172032 x^{2} - 114688 x - 32768$

$55328 x^{6}$ और $44800 x^{6}$ जोड़ें.

$x^{12} + 29 x^{11} + 374 x^{10} + 2820 x^{9} + 13720 x^{8} + 44656 x^{7} + 100128 x^{6} + 128 x^{5} + 6720 x^{5} + 1920 x^{4} + 53760 x^{5} + 35840 x^{4} + 10240 x^{3} + 89600 x^{5} + 107520 x^{4} + 71680 x^{3} + 20480 x^{2} - 3584 x^{6} - 21504 x^{5} - 71680 x^{4} - 143360 x^{3} - 172032 x^{2} - 114688 x - 32768$

$100128 x^{6}$ में से $3584 x^{6}$ घटाएं.

$x^{12} + 29 x^{11} + 374 x^{10} + 2820 x^{9} + 13720 x^{8} + 44656 x^{7} + 96544 x^{6} + 128 x^{5} + 6720 x^{5} + 1920 x^{4} + 53760 x^{5} + 35840 x^{4} + 10240 x^{3} + 89600 x^{5} + 107520 x^{4} + 71680 x^{3} + 20480 x^{2} - 21504 x^{5} - 71680 x^{4} - 143360 x^{3} - 172032 x^{2} - 114688 x - 32768$

$128 x^{5}$ और $6720 x^{5}$ जोड़ें.

$x^{12} + 29 x^{11} + 374 x^{10} + 2820 x^{9} + 13720 x^{8} + 44656 x^{7} + 96544 x^{6} + 6848 x^{5} + 1920 x^{4} + 53760 x^{5} + 35840 x^{4} + 10240 x^{3} + 89600 x^{5} + 107520 x^{4} + 71680 x^{3} + 20480 x^{2} - 21504 x^{5} - 71680 x^{4} - 143360 x^{3} - 172032 x^{2} - 114688 x - 32768$

$6848 x^{5}$ और $53760 x^{5}$ जोड़ें.

$x^{12} + 29 x^{11} + 374 x^{10} + 2820 x^{9} + 13720 x^{8} + 44656 x^{7} + 96544 x^{6} + 60608 x^{5} + 1920 x^{4} + 35840 x^{4} + 10240 x^{3} + 89600 x^{5} + 107520 x^{4} + 71680 x^{3} + 20480 x^{2} - 21504 x^{5} - 71680 x^{4} - 143360 x^{3} - 172032 x^{2} - 114688 x - 32768$

$60608 x^{5}$ और $89600 x^{5}$ जोड़ें.

$x^{12} + 29 x^{11} + 374 x^{10} + 2820 x^{9} + 13720 x^{8} + 44656 x^{7} + 96544 x^{6} + 150208 x^{5} + 1920 x^{4} + 35840 x^{4} + 10240 x^{3} + 107520 x^{4} + 71680 x^{3} + 20480 x^{2} - 21504 x^{5} - 71680 x^{4} - 143360 x^{3} - 172032 x^{2} - 114688 x - 32768$

$150208 x^{5}$ में से $21504 x^{5}$ घटाएं.

$x^{12} + 29 x^{11} + 374 x^{10} + 2820 x^{9} + 13720 x^{8} + 44656 x^{7} + 96544 x^{6} + 128704 x^{5} + 1920 x^{4} + 35840 x^{4} + 10240 x^{3} + 107520 x^{4} + 71680 x^{3} + 20480 x^{2} - 71680 x^{4} - 143360 x^{3} - 172032 x^{2} - 114688 x - 32768$

$1920 x^{4}$ और $35840 x^{4}$ जोड़ें.

$x^{12} + 29 x^{11} + 374 x^{10} + 2820 x^{9} + 13720 x^{8} + 44656 x^{7} + 96544 x^{6} + 128704 x^{5} + 37760 x^{4} + 10240 x^{3} + 107520 x^{4} + 71680 x^{3} + 20480 x^{2} - 71680 x^{4} - 143360 x^{3} - 172032 x^{2} - 114688 x - 32768$

$37760 x^{4}$ और $107520 x^{4}$ जोड़ें.

$x^{12} + 29 x^{11} + 374 x^{10} + 2820 x^{9} + 13720 x^{8} + 44656 x^{7} + 96544 x^{6} + 128704 x^{5} + 145280 x^{4} + 10240 x^{3} + 71680 x^{3} + 20480 x^{2} - 71680 x^{4} - 143360 x^{3} - 172032 x^{2} - 114688 x - 32768$

$145280 x^{4}$ में से $71680 x^{4}$ घटाएं.

$x^{12} + 29 x^{11} + 374 x^{10} + 2820 x^{9} + 13720 x^{8} + 44656 x^{7} + 96544 x^{6} + 128704 x^{5} + 73600 x^{4} + 10240 x^{3} + 71680 x^{3} + 20480 x^{2} - 143360 x^{3} - 172032 x^{2} - 114688 x - 32768$

$10240 x^{3}$ और $71680 x^{3}$ जोड़ें.

$x^{12} + 29 x^{11} + 374 x^{10} + 2820 x^{9} + 13720 x^{8} + 44656 x^{7} + 96544 x^{6} + 128704 x^{5} + 73600 x^{4} + 81920 x^{3} + 20480 x^{2} - 143360 x^{3} - 172032 x^{2} - 114688 x - 32768$

$81920 x^{3}$ में से $143360 x^{3}$ घटाएं.

$x^{12} + 29 x^{11} + 374 x^{10} + 2820 x^{9} + 13720 x^{8} + 44656 x^{7} + 96544 x^{6} + 128704 x^{5} + 73600 x^{4} - 61440 x^{3} + 20480 x^{2} - 172032 x^{2} - 114688 x - 32768$

$20480 x^{2}$ में से $172032 x^{2}$ घटाएं.

$x^{12} + 29 x^{11} + 374 x^{10} + 2820 x^{9} + 13720 x^{8} + 44656 x^{7} + 96544 x^{6} + 128704 x^{5} + 73600 x^{4} - 61440 x^{3} - 151552 x^{2} - 114688 x - 32768$

Step 2

सबसे बड़ा घातांक बहुपद की घात है.

$12$