Solve (8n-3n^4+10n^2)-(3n^2+11n^2-7)

$$( 8 n - 3 n ^ { 4 } + 10 n ^ { 2 } ) - ( 3 n ^ { 2 } + 11 n ^ { 2 } - 7 )$$

Evaluate

$$7+8n-4n^{2}-3n^{4}$$

Solution Steps

Combine 3n^{2} and 11n^{2} to get 14n^{2}.

$$8n-3n^{4}+10n^{2}-\left(14n^{2}-7\right)$$

To find the opposite of 14n^{2}-7, find the opposite of each term.

$$8n-3n^{4}+10n^{2}-14n^{2}+7$$

Combine 10n^{2} and -14n^{2} to get -4n^{2}.

$$8n-3n^{4}-4n^{2}+7$$

Expand

$$7+8n-4n^{2}-3n^{4}$$

Solution Steps

Combine 3n^{2} and 11n^{2} to get 14n^{2}.

$$8n-3n^{4}+10n^{2}-\left(14n^{2}-7\right)$$

To find the opposite of 14n^{2}-7, find the opposite of each term.

$$8n-3n^{4}+10n^{2}-14n^{2}+7$$

Combine 10n^{2} and -14n^{2} to get -4n^{2}.

$$8n-3n^{4}-4n^{2}+7$$