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-8\left(x^{2}-2x+1\right)+9
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-1\right)^{2}.
-8x^{2}+16x-8+9
Use the distributive property to multiply -8 by x^{2}-2x+1.
-8x^{2}+16x+1
Add -8 and 9 to get 1.
-8\left(x^{2}-2x+1\right)+9
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-1\right)^{2}.
-8x^{2}+16x-8+9
Use the distributive property to multiply -8 by x^{2}-2x+1.
-8x^{2}+16x+1
Add -8 and 9 to get 1.