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6\left(x^{2}-2x+1\right)x
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-1\right)^{2}.
\left(6x^{2}-12x+6\right)x
Use the distributive property to multiply 6 by x^{2}-2x+1.
6x^{3}-12x^{2}+6x
Use the distributive property to multiply 6x^{2}-12x+6 by x.
6\left(x^{2}-2x+1\right)x
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-1\right)^{2}.
\left(6x^{2}-12x+6\right)x
Use the distributive property to multiply 6 by x^{2}-2x+1.
6x^{3}-12x^{2}+6x
Use the distributive property to multiply 6x^{2}-12x+6 by x.