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x^{2}-2x+1+2\left(x-6\right)
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-1\right)^{2}.
x^{2}-2x+1+2x-12
Use the distributive property to multiply 2 by x-6.
x^{2}+1-12
Combine -2x and 2x to get 0.
x^{2}-11
Subtract 12 from 1 to get -11.
x^{2}-2x+1+2\left(x-6\right)
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-1\right)^{2}.
x^{2}-2x+1+2x-12
Use the distributive property to multiply 2 by x-6.
x^{2}+1-12
Combine -2x and 2x to get 0.
x^{2}-11
Subtract 12 from 1 to get -11.