Solve for y
y=\left(x\left(x+2\right)\right)^{2}
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x^{2}\left(x^{2}+4x+4\right)=y
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+2\right)^{2}.
x^{4}+4x^{3}+4x^{2}=y
Use the distributive property to multiply x^{2} by x^{2}+4x+4.
y=x^{4}+4x^{3}+4x^{2}
Swap sides so that all variable terms are on the left hand side.
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