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6x^{2}-12x+x^{2}\left(x-2\right)
Use the distributive property to multiply 6x by x-2.
6x^{2}-12x+x^{3}-2x^{2}
Use the distributive property to multiply x^{2} by x-2.
4x^{2}-12x+x^{3}
Combine 6x^{2} and -2x^{2} to get 4x^{2}.
6x^{2}-12x+x^{2}\left(x-2\right)
Use the distributive property to multiply 6x by x-2.
6x^{2}-12x+x^{3}-2x^{2}
Use the distributive property to multiply x^{2} by x-2.
4x^{2}-12x+x^{3}
Combine 6x^{2} and -2x^{2} to get 4x^{2}.