Simplify (-4x^2+3x+3)-(4x^2+9)

$(- 4 x^{2} + 3 x + 3) - (4 x^{2} + 9)$

Step 1

Simplify each term.

Apply the distributive property.

$- 4 x^{2} + 3 x + 3 - (4 x^{2}) - 1 \cdot 9$

Multiply $4$ by $- 1$ .

$- 4 x^{2} + 3 x + 3 - 4 x^{2} - 1 \cdot 9$

Multiply $- 1$ by $9$ .

$- 4 x^{2} + 3 x + 3 - 4 x^{2} - 9$

$- 4 x^{2} + 3 x + 3 - 4 x^{2} - 9$

Step 2

Simplify by adding terms.

Subtract $4 x^{2}$ from $- 4 x^{2}$ .

$- 8 x^{2} + 3 x + 3 - 9$

Subtract $9$ from $3$ .

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

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

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