Simplify (4v^2+3v)-(6v-7+7v^2)

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

Step 1

Simplify each term.

Apply the distributive property.

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

Simplify.

Multiply $6$ by $- 1$ .

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

Multiply $- 1$ by $- 7$ .

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

Multiply $7$ by $- 1$ .

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

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

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

Step 2

Simplify by adding terms.

Subtract $7 v^{2}$ from $4 v^{2}$ .

$- 3 v^{2} + 3 v - 6 v + 7$

Subtract $6 v$ from $3 v$ .

$- 3 v^{2} - 3 v + 7$

$- 3 v^{2} - 3 v + 7$

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