Simplify (3x^3+2x^2-5x)-(8x^3-2x^2)

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

Step 1

Simplify each term.

Apply the distributive property.

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

Multiply $8$ by $- 1$ .

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

Multiply $- 2$ by $- 1$ .

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

Step 2

Simplify by adding terms.

Subtract $8 x^{3}$ from $3 x^{3}$ .

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

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

$- 5 x^{3} + 4 x^{2} - 5 x$