Pre-Algebra Examples

$(- 9 x^{2} - 2 x) - (- 9 x^{2} - 3 x)$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$- 9 x^{2} - 2 x - (- 9 x^{2}) - (- 3 x)$

Step 1.2

Multiply $- 9$ by $- 1$ .

$- 9 x^{2} - 2 x + 9 x^{2} - (- 3 x)$

Step 1.3

Multiply $- 3$ by $- 1$ .

$- 9 x^{2} - 2 x + 9 x^{2} + 3 x$

Step 2

Simplify by adding terms.

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Step 2.1

Combine the opposite terms in $- 9 x^{2} - 2 x + 9 x^{2} + 3 x$ .

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Step 2.1.1

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

$- 2 x + 0 + 3 x$

Step 2.1.2

Add $- 2 x$ and $0$ .

$- 2 x + 3 x$

Step 2.2

Add $- 2 x$ and $3 x$ .

$x$