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\left(2x^{3}-4x^{2}+x-3\right)x+3
Divide each term of 4x^{3}-8x^{2}+2x-6 by 2 to get 2x^{3}-4x^{2}+x-3.
2x^{4}-4x^{3}+x^{2}-3x+3
Use the distributive property to multiply 2x^{3}-4x^{2}+x-3 by x.
\left(2x^{3}-4x^{2}+x-3\right)x+3
Divide each term of 4x^{3}-8x^{2}+2x-6 by 2 to get 2x^{3}-4x^{2}+x-3.
2x^{4}-4x^{3}+x^{2}-3x+3
Use the distributive property to multiply 2x^{3}-4x^{2}+x-3 by x.