Pre-Algebra Examples

$(8 x^{2} + 8 x) - (- 9 x^{2} + 8 x)$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$8 x^{2} + 8 x - (- 9 x^{2}) - (8 x)$

Step 1.2

Multiply $- 9$ by $- 1$ .

$8 x^{2} + 8 x + 9 x^{2} - (8 x)$

Step 1.3

Multiply $8$ by $- 1$ .

$8 x^{2} + 8 x + 9 x^{2} - 8 x$

Step 2

Simplify by adding terms.

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Step 2.1

Combine the opposite terms in $8 x^{2} + 8 x + 9 x^{2} - 8 x$ .

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Step 2.1.1

Subtract $8 x$ from $8 x$ .

$8 x^{2} + 9 x^{2} + 0$

Step 2.1.2

Add $8 x^{2} + 9 x^{2}$ and $0$ .

$8 x^{2} + 9 x^{2}$

Step 2.2

Add $8 x^{2}$ and $9 x^{2}$ .

$17 x^{2}$