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5x^{3}-10x^{2}+20x+x^{2}\left(x+1\right)
Use the distributive property to multiply 5x by x^{2}-2x+4.
5x^{3}-10x^{2}+20x+x^{3}+x^{2}
Use the distributive property to multiply x^{2} by x+1.
6x^{3}-10x^{2}+20x+x^{2}
Combine 5x^{3} and x^{3} to get 6x^{3}.
6x^{3}-9x^{2}+20x
Combine -10x^{2} and x^{2} to get -9x^{2}.
5x^{3}-10x^{2}+20x+x^{2}\left(x+1\right)
Use the distributive property to multiply 5x by x^{2}-2x+4.
5x^{3}-10x^{2}+20x+x^{3}+x^{2}
Use the distributive property to multiply x^{2} by x+1.
6x^{3}-10x^{2}+20x+x^{2}
Combine 5x^{3} and x^{3} to get 6x^{3}.
6x^{3}-9x^{2}+20x
Combine -10x^{2} and x^{2} to get -9x^{2}.