Solve 5x^2-10-(2x^2-8x+6-(3x^2-6x))=

$$5 x ^ { 2 } - 10 - ( 2 x ^ { 2 } - 8 x + 6 - ( 3 x ^ { 2 } - 6 x ) ) =$$

Evaluate

$$2\left(3x^{2}+x-8\right)$$

Solution Steps

To find the opposite of 3x^{2}-6x, find the opposite of each term.

$$5x^{2}-10-\left(2x^{2}-8x+6-3x^{2}+6x\right)$$

Combine 2x^{2} and -3x^{2} to get -x^{2}.

$$5x^{2}-10-\left(-x^{2}-8x+6+6x\right)$$

Combine -8x and 6x to get -2x.

$$5x^{2}-10-\left(-x^{2}-2x+6\right)$$

To find the opposite of -x^{2}-2x+6, find the opposite of each term.

$$5x^{2}-10+x^{2}+2x-6$$

Combine 5x^{2} and x^{2} to get 6x^{2}.

$$6x^{2}-10+2x-6$$

Subtract 6 from -10 to get -16.

$$6x^{2}-16+2x$$

Expand

$$6x^{2}+2x-16$$

Solution Steps

To find the opposite of 3x^{2}-6x, find the opposite of each term.

$$5x^{2}-10-\left(2x^{2}-8x+6-3x^{2}+6x\right)$$

Combine 2x^{2} and -3x^{2} to get -x^{2}.

$$5x^{2}-10-\left(-x^{2}-8x+6+6x\right)$$

Combine -8x and 6x to get -2x.

$$5x^{2}-10-\left(-x^{2}-2x+6\right)$$

To find the opposite of -x^{2}-2x+6, find the opposite of each term.

$$5x^{2}-10+x^{2}+2x-6$$

Combine 5x^{2} and x^{2} to get 6x^{2}.

$$6x^{2}-10+2x-6$$

Subtract 6 from -10 to get -16.

$$6x^{2}-16+2x$$