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12x-\left(36x^{2}-12x+1\right)
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(-6x+1\right)^{2}.
12x-36x^{2}+12x-1
To find the opposite of 36x^{2}-12x+1, find the opposite of each term.
24x-36x^{2}-1
Combine 12x and 12x to get 24x.
12x-\left(36x^{2}-12x+1\right)
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(-6x+1\right)^{2}.
12x-36x^{2}+12x-1
To find the opposite of 36x^{2}-12x+1, find the opposite of each term.
24x-36x^{2}-1
Combine 12x and 12x to get 24x.