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

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

Evaluate

$$3x^{3}-2x^{2}-2x-1$$

Solution Steps

To find the opposite of x^{3}-2, find the opposite of each term.

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

Combine -x^{3} and 4x^{3} to get 3x^{3}.

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

To find the opposite of 2x^{2}+3, find the opposite of each term.

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

Subtract 3 from 2 to get -1.

$$3x^{3}-1-2x-2x^{2}$$

Expand

$$3x^{3}-2x^{2}-2x-1$$

Solution Steps

To find the opposite of x^{3}-2, find the opposite of each term.

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

Combine -x^{3} and 4x^{3} to get 3x^{3}.

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

To find the opposite of 2x^{2}+3, find the opposite of each term.

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

Subtract 3 from 2 to get -1.

$$3x^{3}-1-2x-2x^{2}$$