Evaluate
-\left(x+1\right)\left(x+7\right)
Expand
-x^{2}-8x-7
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9-\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}.
9-x^{2}-8x-16
To find the opposite of x^{2}+8x+16, find the opposite of each term.
-7-x^{2}-8x
Subtract 16 from 9 to get -7.
9-\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}.
9-x^{2}-8x-16
To find the opposite of x^{2}+8x+16, find the opposite of each term.
-7-x^{2}-8x
Subtract 16 from 9 to get -7.
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