Solve for y
y=\left(x-4\right)\left(x-2\right)^{2}x^{3}
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y=x^{3}\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}.
y=\left(x^{5}-4x^{4}+4x^{3}\right)\left(x-4\right)
Use the distributive property to multiply x^{3} by x^{2}-4x+4.
y=x^{6}-8x^{5}+20x^{4}-16x^{3}
Use the distributive property to multiply x^{5}-4x^{4}+4x^{3} by x-4 and combine like terms.
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