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\left(x^{2}+x\right)\left(x-1\right)\left(x-3\right)
Use the distributive property to multiply x by x+1.
\left(x^{3}-x^{2}+x^{2}-x\right)\left(x-3\right)
Apply the distributive property by multiplying each term of x^{2}+x by each term of x-1.
\left(x^{3}-x\right)\left(x-3\right)
Combine -x^{2} and x^{2} to get 0.
x^{4}-3x^{3}-x^{2}+3x
Apply the distributive property by multiplying each term of x^{3}-x by each term of x-3.
\left(x^{2}+x\right)\left(x-1\right)\left(x-3\right)
Use the distributive property to multiply x by x+1.
\left(x^{3}-x^{2}+x^{2}-x\right)\left(x-3\right)
Apply the distributive property by multiplying each term of x^{2}+x by each term of x-1.
\left(x^{3}-x\right)\left(x-3\right)
Combine -x^{2} and x^{2} to get 0.
x^{4}-3x^{3}-x^{2}+3x
Apply the distributive property by multiplying each term of x^{3}-x by each term of x-3.