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\left(x^{2}-2x\right)\left(x-3\right)\left(x+1\right)
Use the distributive property to multiply x by x-2.
\left(x^{3}-3x^{2}-2x^{2}+6x\right)\left(x+1\right)
Apply the distributive property by multiplying each term of x^{2}-2x by each term of x-3.
\left(x^{3}-5x^{2}+6x\right)\left(x+1\right)
Combine -3x^{2} and -2x^{2} to get -5x^{2}.
x^{4}+x^{3}-5x^{3}-5x^{2}+6x^{2}+6x
Apply the distributive property by multiplying each term of x^{3}-5x^{2}+6x by each term of x+1.
x^{4}-4x^{3}-5x^{2}+6x^{2}+6x
Combine x^{3} and -5x^{3} to get -4x^{3}.
x^{4}-4x^{3}+x^{2}+6x
Combine -5x^{2} and 6x^{2} to get x^{2}.
\left(x^{2}-2x\right)\left(x-3\right)\left(x+1\right)
Use the distributive property to multiply x by x-2.
\left(x^{3}-3x^{2}-2x^{2}+6x\right)\left(x+1\right)
Apply the distributive property by multiplying each term of x^{2}-2x by each term of x-3.
\left(x^{3}-5x^{2}+6x\right)\left(x+1\right)
Combine -3x^{2} and -2x^{2} to get -5x^{2}.
x^{4}+x^{3}-5x^{3}-5x^{2}+6x^{2}+6x
Apply the distributive property by multiplying each term of x^{3}-5x^{2}+6x by each term of x+1.
x^{4}-4x^{3}-5x^{2}+6x^{2}+6x
Combine x^{3} and -5x^{3} to get -4x^{3}.
x^{4}-4x^{3}+x^{2}+6x
Combine -5x^{2} and 6x^{2} to get x^{2}.