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\left(3x^{3}-6x^{2}+3x\right)\left(x-1\right)\left(x+1\right)
Use the distributive property to multiply 3x by x^{2}-2x+1.
\left(3x^{4}-9x^{3}+9x^{2}-3x\right)\left(x+1\right)
Use the distributive property to multiply 3x^{3}-6x^{2}+3x by x-1 and combine like terms.
3x^{5}-6x^{4}+6x^{2}-3x
Use the distributive property to multiply 3x^{4}-9x^{3}+9x^{2}-3x by x+1 and combine like terms.
\left(3x^{3}-6x^{2}+3x\right)\left(x-1\right)\left(x+1\right)
Use the distributive property to multiply 3x by x^{2}-2x+1.
\left(3x^{4}-9x^{3}+9x^{2}-3x\right)\left(x+1\right)
Use the distributive property to multiply 3x^{3}-6x^{2}+3x by x-1 and combine like terms.
3x^{5}-6x^{4}+6x^{2}-3x
Use the distributive property to multiply 3x^{4}-9x^{3}+9x^{2}-3x by x+1 and combine like terms.