Solve for y
y=\left(3-x\right)\left(x+1\right)^{3}
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y=\left(3-x\right)\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=6x^{2}+8x+3-x^{4}
Use the distributive property to multiply 3-x by x^{3}+3x^{2}+3x+1 and combine like terms.
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