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-\left(x^{2}-8x+16\right)+3
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-4\right)^{2}.
-x^{2}+8x-16+3
To find the opposite of x^{2}-8x+16, find the opposite of each term.
-x^{2}+8x-13
Add -16 and 3 to get -13.
-\left(x^{2}-8x+16\right)+3
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-4\right)^{2}.
-x^{2}+8x-16+3
To find the opposite of x^{2}-8x+16, find the opposite of each term.
-x^{2}+8x-13
Add -16 and 3 to get -13.