Solve (12x^3-2x^2)-(12x^3+16x^2)

$$(12 { x }^{ 3 } -2 { x }^{ 2 } )-(12 { x }^{ 3 } +16 { x }^{ 2 } )$$

Evaluate

$$-18x^{2}$$

Solution Steps

To find the opposite of 12x^{3}+16x^{2}, find the opposite of each term.

$$12x^{3}-2x^{2}-12x^{3}-16x^{2}$$

Combine 12x^{3} and -12x^{3} to get 0.

$$-2x^{2}-16x^{2}$$

Combine -2x^{2} and -16x^{2} to get -18x^{2}.

$$-18x^{2}$$

Expand

$$-18x^{2}$$

Solution Steps

To find the opposite of 12x^{3}+16x^{2}, find the opposite of each term.

$$12x^{3}-2x^{2}-12x^{3}-16x^{2}$$

Combine 12x^{3} and -12x^{3} to get 0.

$$-2x^{2}-16x^{2}$$

Combine -2x^{2} and -16x^{2} to get -18x^{2}.

$$-18x^{2}$$