Evaluate
-\left(x-2\right)^{2}+8
Expand
4+4x-x^{2}
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4-\left(x^{2}-4x+4\right)+4
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-2\right)^{2}.
4-x^{2}+4x-4+4
To find the opposite of x^{2}-4x+4, find the opposite of each term.
-x^{2}+4x+4
Subtract 4 from 4 to get 0.
4-\left(x^{2}-4x+4\right)+4
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-2\right)^{2}.
4-x^{2}+4x-4+4
To find the opposite of x^{2}-4x+4, find the opposite of each term.
-x^{2}+4x+4
Subtract 4 from 4 to get 0.
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