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

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

Step 1

Simplify each term.

Apply the distributive property.

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

Multiply $- 4$ by $2$ .

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

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

Step 2

Simplify by adding terms.

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

$5 x^{3} + x^{2} - 8 x^{2}$

Subtract $8 x^{2}$ from $x^{2}$ .

$5 x^{3} - 7 x^{2}$

$5 x^{3} - 7 x^{2}$

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