Evaluate
\left(x\left(x+3\right)\right)^{2}
Expand
x^{4}+6x^{3}+9x^{2}
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x^{2}\left(x^{2}+6x+9\right)
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+3\right)^{2}.
x^{4}+6x^{3}+9x^{2}
Use the distributive property to multiply x^{2} by x^{2}+6x+9.
x^{2}\left(x^{2}+6x+9\right)
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+3\right)^{2}.
x^{4}+6x^{3}+9x^{2}
Use the distributive property to multiply x^{2} by x^{2}+6x+9.
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