Evaluate
-\left(x+4\right)^{2}+7
Expand
-x^{2}-8x-9
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-\left(x^{2}+8x+16\right)+7
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+4\right)^{2}.
-x^{2}-8x-16+7
To find the opposite of x^{2}+8x+16, find the opposite of each term.
-x^{2}-8x-9
Add -16 and 7 to get -9.
-\left(x^{2}+8x+16\right)+7
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+4\right)^{2}.
-x^{2}-8x-16+7
To find the opposite of x^{2}+8x+16, find the opposite of each term.
-x^{2}-8x-9
Add -16 and 7 to get -9.
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