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

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

Simplify each term.

Apply the distributive property.

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

Multiply $- 4$ by $3$ .

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

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

Simplify by adding terms.

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

$5 x^{3} + x^{2} - 12 x^{2}$

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

$5 x^{3} - 11 x^{2}$

$5 x^{3} - 11 x^{2}$

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