Evaluate
-\left(x+7\right)^{2}+6
Expand
-x^{2}-14x-43
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-\left(x^{2}+14x+49\right)+6
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+7\right)^{2}.
-x^{2}-14x-49+6
To find the opposite of x^{2}+14x+49, find the opposite of each term.
-x^{2}-14x-43
Add -49 and 6 to get -43.
-\left(x^{2}+14x+49\right)+6
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+7\right)^{2}.
-x^{2}-14x-49+6
To find the opposite of x^{2}+14x+49, find the opposite of each term.
-x^{2}-14x-43
Add -49 and 6 to get -43.
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