Solve (4x^3-5x^2+2)+(-3x^2+2x^2-2)

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

Evaluate

$$2\left(2x-3\right)x^{2}$$

Solution Steps

Combine -5x^{2} and -3x^{2} to get -8x^{2}.

$$4x^{3}-8x^{2}+2+2x^{2}-2$$

Combine -8x^{2} and 2x^{2} to get -6x^{2}.

$$4x^{3}-6x^{2}+2-2$$

Subtract 2 from 2 to get 0.

$$4x^{3}-6x^{2}$$

Factor

$$2\left(2x-3\right)x^{2}$$

Solution Steps

Multiply and combine like terms.

$$4x^{3}-6x^{2}$$

Factor out 2.

$$2\left(2x^{3}-3x^{2}\right)$$

Consider 2x^{3}-3x^{2}. Factor out x^{2}.

$$x^{2}\left(2x-3\right)$$

Rewrite the complete factored expression.

$$2x^{2}\left(2x-3\right)$$