Evaluate
\left(x+4\right)\left(\left(x+2\right)^{2}-2x\right)
Expand
x^{3}+6x^{2}+12x+16
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x^{3}+6x^{2}+12x+8+8
Use binomial theorem \left(a+b\right)^{3}=a^{3}+3a^{2}b+3ab^{2}+b^{3} to expand \left(x+2\right)^{3}.
x^{3}+6x^{2}+12x+16
Add 8 and 8 to get 16.
x^{3}+6x^{2}+12x+8+8
Use binomial theorem \left(a+b\right)^{3}=a^{3}+3a^{2}b+3ab^{2}+b^{3} to expand \left(x+2\right)^{3}.
x^{3}+6x^{2}+12x+16
Add 8 and 8 to get 16.
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