Algebra Examples

$5 x (x + 9) - 7 (x + 9)$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$5 x \cdot x + 5 x \cdot 9 - 7 (x + 9)$

Step 1.2

Multiply $x$ by $x$ by adding the exponents.

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Step 1.2.1

Move $x$ .

$5 (x \cdot x) + 5 x \cdot 9 - 7 (x + 9)$

Step 1.2.2

Multiply $x$ by $x$ .

$5 x^{2} + 5 x \cdot 9 - 7 (x + 9)$

$5 x^{2} + 5 x \cdot 9 - 7 (x + 9)$

Step 1.3

Multiply $9$ by $5$ .

$5 x^{2} + 45 x - 7 (x + 9)$

Step 1.4

Apply the distributive property.

$5 x^{2} + 45 x - 7 x - 7 \cdot 9$

Step 1.5

Multiply $- 7$ by $9$ .

$5 x^{2} + 45 x - 7 x - 63$

$5 x^{2} + 45 x - 7 x - 63$

Step 2

Subtract $7 x$ from $45 x$ .

$5 x^{2} + 38 x - 63$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$