Basic Math Examples

$- 8 v^{2} + 9 v + 3 + (- 7 v^{2} + 6 v - 9) - (- v^{2} - 5 v - 4)$

Step 1

Remove parentheses.

$- 8 v^{2} + 9 v + 3 - 7 v^{2} + 6 v - 9 - (- v^{2} - 5 v - 4)$

Step 2

Simplify each term.

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Step 2.1

Apply the distributive property.

$- 8 v^{2} + 9 v + 3 - 7 v^{2} + 6 v - 9 - - v^{2} - (- 5 v) - - 4$

Step 2.2

Simplify.

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Step 2.2.1

Multiply $- - v^{2}$ .

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Step 2.2.1.1

Multiply $- 1$ by $- 1$ .

$- 8 v^{2} + 9 v + 3 - 7 v^{2} + 6 v - 9 + 1 v^{2} - (- 5 v) - - 4$

Step 2.2.1.2

Multiply $v^{2}$ by $1$ .

$- 8 v^{2} + 9 v + 3 - 7 v^{2} + 6 v - 9 + v^{2} - (- 5 v) - - 4$

Step 2.2.2

Multiply $- 5$ by $- 1$ .

$- 8 v^{2} + 9 v + 3 - 7 v^{2} + 6 v - 9 + v^{2} + 5 v - - 4$

Step 2.2.3

Multiply $- 1$ by $- 4$ .

$- 8 v^{2} + 9 v + 3 - 7 v^{2} + 6 v - 9 + v^{2} + 5 v + 4$

Step 3

Simplify by adding terms.

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Step 3.1

Subtract $7 v^{2}$ from $- 8 v^{2}$ .

$- 15 v^{2} + 9 v + 3 + 6 v - 9 + v^{2} + 5 v + 4$

Step 3.2

Add $- 15 v^{2}$ and $v^{2}$ .

$- 14 v^{2} + 9 v + 3 + 6 v - 9 + 5 v + 4$

Step 3.3

Add $9 v$ and $6 v$ .

$- 14 v^{2} + 15 v + 3 - 9 + 5 v + 4$

Step 3.4

Add $15 v$ and $5 v$ .

$- 14 v^{2} + 20 v + 3 - 9 + 4$

Step 3.5

Simplify by adding and subtracting.

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Step 3.5.1

Subtract $9$ from $3$ .

$- 14 v^{2} + 20 v - 6 + 4$

Step 3.5.2

Add $- 6$ and $4$ .

$- 14 v^{2} + 20 v - 2$