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x-\left(x^{2}+12x+36\right)
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+6\right)^{2}.
x-x^{2}-12x-36
To find the opposite of x^{2}+12x+36, find the opposite of each term.
-11x-x^{2}-36
Combine x and -12x to get -11x.
x-\left(x^{2}+12x+36\right)
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+6\right)^{2}.
x-x^{2}-12x-36
To find the opposite of x^{2}+12x+36, find the opposite of each term.
-11x-x^{2}-36
Combine x and -12x to get -11x.