Pre-Algebra Examples

$(2 v^{2} + 9 v) - (- 2 v^{2} - 4 v + 9)$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$2 v^{2} + 9 v - (- 2 v^{2}) - (- 4 v) - 1 \cdot 9$

Step 1.2

Simplify.

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Step 1.2.1

Multiply $- 2$ by $- 1$ .

$2 v^{2} + 9 v + 2 v^{2} - (- 4 v) - 1 \cdot 9$

Step 1.2.2

Multiply $- 4$ by $- 1$ .

$2 v^{2} + 9 v + 2 v^{2} + 4 v - 1 \cdot 9$

Step 1.2.3

Multiply $- 1$ by $9$ .

$2 v^{2} + 9 v + 2 v^{2} + 4 v - 9$

Step 2

Simplify by adding terms.

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Step 2.1

Add $2 v^{2}$ and $2 v^{2}$ .

$4 v^{2} + 9 v + 4 v - 9$

Step 2.2

Add $9 v$ and $4 v$ .

$4 v^{2} + 13 v - 9$