Evaluate
-\left(x+6\right)^{2}-1
Expand
-x^{2}-12x-37
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-\left(x^{2}+12x+36\right)-1
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+6\right)^{2}.
-x^{2}-12x-36-1
To find the opposite of x^{2}+12x+36, find the opposite of each term.
-x^{2}-12x-37
Subtract 1 from -36 to get -37.
-\left(x^{2}+12x+36\right)-1
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+6\right)^{2}.
-x^{2}-12x-36-1
To find the opposite of x^{2}+12x+36, find the opposite of each term.
-x^{2}-12x-37
Subtract 1 from -36 to get -37.
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