Solve for y
y=\left(x+1\right)\left(x+2\right)^{3}
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y=\left(x+1\right)\left(x^{3}+6x^{2}+12x+8\right)
Use binomial theorem \left(a+b\right)^{3}=a^{3}+3a^{2}b+3ab^{2}+b^{3} to expand \left(x+2\right)^{3}.
y=x^{4}+7x^{3}+18x^{2}+20x+8
Use the distributive property to multiply x+1 by x^{3}+6x^{2}+12x+8 and combine like terms.
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