Simplify (2x^3+x^2-4x)-(9x^3-3x^2)

$(2 x^{3} + x^{2} - 4 x) - (9 x^{3} - 3 x^{2})$

Step 1

Simplify each term.

Apply the distributive property.

$2 x^{3} + x^{2} - 4 x - (9 x^{3}) - (- 3 x^{2})$

Multiply $9$ by $- 1$ .

$2 x^{3} + x^{2} - 4 x - 9 x^{3} - (- 3 x^{2})$

Multiply $- 3$ by $- 1$ .

$2 x^{3} + x^{2} - 4 x - 9 x^{3} + 3 x^{2}$

$2 x^{3} + x^{2} - 4 x - 9 x^{3} + 3 x^{2}$

Step 2

Simplify by adding terms.

Subtract $9 x^{3}$ from $2 x^{3}$ .

$- 7 x^{3} + x^{2} - 4 x + 3 x^{2}$

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

$- 7 x^{3} + 4 x^{2} - 4 x$

$- 7 x^{3} + 4 x^{2} - 4 x$

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