Solve for y
y=x\left(x+1\right)^{3}
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y=x\left(x^{3}+3x^{2}+3x+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}.
y=x^{4}+3x^{3}+3x^{2}+x
Use the distributive property to multiply x by x^{3}+3x^{2}+3x+1.
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