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-\left(1-16x+64x^{2}\right)-1+x
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(-1+8x\right)^{2}.
-1+16x-64x^{2}-1+x
To find the opposite of 1-16x+64x^{2}, find the opposite of each term.
-2+16x-64x^{2}+x
Subtract 1 from -1 to get -2.
-2+17x-64x^{2}
Combine 16x and x to get 17x.
-\left(1-16x+64x^{2}\right)-1+x
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(-1+8x\right)^{2}.
-1+16x-64x^{2}-1+x
To find the opposite of 1-16x+64x^{2}, find the opposite of each term.
-2+16x-64x^{2}+x
Subtract 1 from -1 to get -2.
-2+17x-64x^{2}
Combine 16x and x to get 17x.