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

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

Step 1

Simplify each term.

Apply the distributive property.

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

Multiply $2$ by $- 1$ .

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

Apply the distributive property.

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

Multiply $- 4$ by $3$ .

$- 2 x^{3} - x^{2} + 3 x^{3} - 12 x^{2}$

$- 2 x^{3} - x^{2} + 3 x^{3} - 12 x^{2}$

Step 2

Simplify by adding terms.

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

$x^{3} - x^{2} - 12 x^{2}$

Subtract $12 x^{2}$ from $- x^{2}$ .

$x^{3} - 13 x^{2}$

$x^{3} - 13 x^{2}$

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