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-\frac{1}{4}\left(x^{2}-8x+16\right)+6
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-4\right)^{2}.
-\frac{1}{4}x^{2}+2x-4+6
Use the distributive property to multiply -\frac{1}{4} by x^{2}-8x+16.
-\frac{1}{4}x^{2}+2x+2
Add -4 and 6 to get 2.
-\frac{1}{4}\left(x^{2}-8x+16\right)+6
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-4\right)^{2}.
-\frac{1}{4}x^{2}+2x-4+6
Use the distributive property to multiply -\frac{1}{4} by x^{2}-8x+16.
-\frac{1}{4}x^{2}+2x+2
Add -4 and 6 to get 2.