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5-\left(x^{2}-8x+16\right)
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-4\right)^{2}.
5-x^{2}+8x-16
To find the opposite of x^{2}-8x+16, find the opposite of each term.
-11-x^{2}+8x
Subtract 16 from 5 to get -11.
5-\left(x^{2}-8x+16\right)
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-4\right)^{2}.
5-x^{2}+8x-16
To find the opposite of x^{2}-8x+16, find the opposite of each term.
-11-x^{2}+8x
Subtract 16 from 5 to get -11.