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