Simplify (3x^2+9)-(2x^3-6)

$(3 x^{2} + 9) - (2 x^{3} - 6)$

Step 1

Simplify each term.

Apply the distributive property.

$3 x^{2} + 9 - (2 x^{3}) - - 6$

Multiply $2$ by $- 1$ .

$3 x^{2} + 9 - 2 x^{3} - - 6$

Multiply $- 1$ by $- 6$ .

$3 x^{2} + 9 - 2 x^{3} + 6$

$3 x^{2} + 9 - 2 x^{3} + 6$

Step 2

Simplify the expression.

Add $9$ and $6$ .

$3 x^{2} - 2 x^{3} + 15$

Reorder $3 x^{2}$ and $- 2 x^{3}$ .

$- 2 x^{3} + 3 x^{2} + 15$

$- 2 x^{3} + 3 x^{2} + 15$

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