Evaluate
\left(x+4\right)\left(x+2\right)^{2}
Expand
x^{3}+8x^{2}+20x+16
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\left(x^{2}+4x+4\right)\left(x+4\right)
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+2\right)^{2}.
x^{3}+8x^{2}+20x+16
Use the distributive property to multiply x^{2}+4x+4 by x+4 and combine like terms.
\left(x^{2}+4x+4\right)\left(x+4\right)
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+2\right)^{2}.
x^{3}+8x^{2}+20x+16
Use the distributive property to multiply x^{2}+4x+4 by x+4 and combine like terms.
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