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7x^{2}-5x+7-\left(-x^{2}\right)-2x-6
To find the opposite of -x^{2}+2x+6, find the opposite of each term.
7x^{2}-7x+7-\left(-x^{2}\right)-6
Combine -5x and -2x to get -7x.
7x^{2}-7x+1-\left(-x^{2}\right)
Subtract 6 from 7 to get 1.
7x^{2}-7x+1+x^{2}
Multiply -1 and -1 to get 1.
8x^{2}-7x+1
Combine 7x^{2} and x^{2} to get 8x^{2}.
7x^{2}-5x+7-\left(-x^{2}\right)-2x-6
To find the opposite of -x^{2}+2x+6, find the opposite of each term.
7x^{2}-7x+7-\left(-x^{2}\right)-6
Combine -5x and -2x to get -7x.
7x^{2}-7x+1-\left(-x^{2}\right)
Subtract 6 from 7 to get 1.
7x^{2}-7x+1+x^{2}
Multiply -1 and -1 to get 1.
8x^{2}-7x+1
Combine 7x^{2} and x^{2} to get 8x^{2}.