Solve (2n^3-n^4)-(5n^3-6n-n^4)

$$( 2 n ^ { 3 } - n ^ { 4 } ) - ( 5 n ^ { 3 } - 6 n - n ^ { 4 } )$$

Evaluate

$$6n-3n^{3}$$

Solution Steps

To find the opposite of 5n^{3}-6n-n^{4}, find the opposite of each term.

$$2n^{3}-n^{4}-5n^{3}+6n+n^{4}$$

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

$$-3n^{3}-n^{4}+6n+n^{4}$$

Combine -n^{4} and n^{4} to get 0.

$$-3n^{3}+6n$$

Expand

$$6n-3n^{3}$$

Solution Steps

To find the opposite of 5n^{3}-6n-n^{4}, find the opposite of each term.

$$2n^{3}-n^{4}-5n^{3}+6n+n^{4}$$

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

$$-3n^{3}-n^{4}+6n+n^{4}$$

Combine -n^{4} and n^{4} to get 0.

$$-3n^{3}+6n$$