Simplify (2v^2-3v+2)-(-4v^2-9v+3)+(-9v^2-8v+6)

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

Step 1

Remove parentheses.

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

Step 2

Simplify each term.

Apply the distributive property.

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

Simplify.

Multiply

$- 4$ by

$- 1$ .

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

Multiply

$- 9$ by

$- 1$ .

$2 v^{2} - 3 v + 2 + 4 v^{2} + 9 v - 1 \cdot 3 - 9 v^{2} - 8 v + 6$

Multiply

$- 1$ by

$3$ .

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

Step 3

Simplify by adding terms.

Add

$2 v^{2}$ and

$4 v^{2}$ .

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

Subtract

$9 v^{2}$ from

$6 v^{2}$ .

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

Add

$- 3 v$ and

$9 v$ .

$- 3 v^{2} + 6 v + 2 - 3 - 8 v + 6$

Subtract

$8 v$ from

$6 v$ .

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

Simplify by adding and subtracting.

Subtract

$3$ from

$2$ .

$- 3 v^{2} - 2 v - 1 + 6$

Add

$- 1$ and

$6$ .

$- 3 v^{2} - 2 v + 5$

Simplify (2v^2-3v+2)-(-4v^2-9v+3)+(-9v^2-8v+6)

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