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

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

Step 1

Simplify each term.

Apply the distributive property.

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

Multiply $4$ by $- 1$ .

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

Apply the distributive property.

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

Multiply $- 3$ by $2$ .

$- 4 x^{3} - x^{2} + 2 x^{3} - 6 x^{2}$

$- 4 x^{3} - x^{2} + 2 x^{3} - 6 x^{2}$

Step 2

Simplify by adding terms.

Add $- 4 x^{3}$ and $2 x^{3}$ .

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

Subtract $6 x^{2}$ from $- x^{2}$ .

$- 2 x^{3} - 7 x^{2}$

$- 2 x^{3} - 7 x^{2}$

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