Evaluate
\left(x-2\right)\left(x+4\right)^{2}
Expand
x^{3}+6x^{2}-32
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\left(x^{2}+8x+16\right)\left(x-2\right)
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+4\right)^{2}.
x^{3}+6x^{2}-32
Use the distributive property to multiply x^{2}+8x+16 by x-2 and combine like terms.
\left(x^{2}+8x+16\right)\left(x-2\right)
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+4\right)^{2}.
x^{3}+6x^{2}-32
Use the distributive property to multiply x^{2}+8x+16 by x-2 and combine like terms.
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