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