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