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12x-\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}.
12x-x^{2}+12x-36
To find the opposite of x^{2}-12x+36, find the opposite of each term.
24x-x^{2}-36
Combine 12x and 12x to get 24x.
12x-\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}.
12x-x^{2}+12x-36
To find the opposite of x^{2}-12x+36, find the opposite of each term.
24x-x^{2}-36
Combine 12x and 12x to get 24x.