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36x^{2}+12x+1-\left(1-12x\right)
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(6x+1\right)^{2}.
36x^{2}+12x+1-1+12x
To find the opposite of 1-12x, find the opposite of each term.
36x^{2}+12x+12x
Subtract 1 from 1 to get 0.
36x^{2}+24x
Combine 12x and 12x to get 24x.
36x^{2}+12x+1-\left(1-12x\right)
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(6x+1\right)^{2}.
36x^{2}+12x+1-1+12x
To find the opposite of 1-12x, find the opposite of each term.
36x^{2}+12x+12x
Subtract 1 from 1 to get 0.
36x^{2}+24x
Combine 12x and 12x to get 24x.