Solve 2r^4+r^2-7r^2-(sr-7-7r^2)

$$2 r ^ { 4 } + r ^ { 2 } - 7 r ^ { 2 } - ( s r - 7 - 7 r ^ { 2 } )$$

Evaluate

$$2r^{4}+r^{2}-rs+7$$

Solution Steps

Combine r^{2} and -7r^{2} to get -6r^{2}.

$$2r^{4}-6r^{2}-\left(sr-7-7r^{2}\right)$$

To find the opposite of sr-7-7r^{2}, find the opposite of each term.

$$2r^{4}-6r^{2}-sr+7+7r^{2}$$

Combine -6r^{2} and 7r^{2} to get r^{2}.

$$2r^{4}+r^{2}-sr+7$$

Expand

$$2r^{4}+r^{2}-rs+7$$

Solution Steps

Combine r^{2} and -7r^{2} to get -6r^{2}.

$$2r^{4}-6r^{2}-\left(sr-7-7r^{2}\right)$$

To find the opposite of sr-7-7r^{2}, find the opposite of each term.

$$2r^{4}-6r^{2}-sr+7+7r^{2}$$

Combine -6r^{2} and 7r^{2} to get r^{2}.

$$2r^{4}+r^{2}-sr+7$$