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.

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

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 $2 x^{3}$ .

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

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

$6 x^{3} - 5 x^{2}$

$6 x^{3} - 5 x^{2}$

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