Evaluate
\left(x-1\right)\left(x+1\right)^{3}
Expand
x^{4}+2x^{3}-2x-1
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\left(x^{3}+3x^{2}+3x+1\right)\left(x-1\right)
Use binomial theorem \left(a+b\right)^{3}=a^{3}+3a^{2}b+3ab^{2}+b^{3} to expand \left(x+1\right)^{3}.
x^{4}+2x^{3}-2x-1
Use the distributive property to multiply x^{3}+3x^{2}+3x+1 by x-1 and combine like terms.
\left(x^{3}+3x^{2}+3x+1\right)\left(x-1\right)
Use binomial theorem \left(a+b\right)^{3}=a^{3}+3a^{2}b+3ab^{2}+b^{3} to expand \left(x+1\right)^{3}.
x^{4}+2x^{3}-2x-1
Use the distributive property to multiply x^{3}+3x^{2}+3x+1 by x-1 and combine like terms.
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