Solve for y
y=-2x\left(x-2\right)^{2}\left(x^{2}-16\right)
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y=-2\left(x-4\right)\left(x+4\right)\left(x^{2}-4x+4\right)x
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-2\right)^{2}.
y=\left(-2x+8\right)\left(x+4\right)\left(x^{2}-4x+4\right)x
Use the distributive property to multiply -2 by x-4.
y=\left(-2x^{2}+32\right)\left(x^{2}-4x+4\right)x
Use the distributive property to multiply -2x+8 by x+4 and combine like terms.
y=\left(-2x^{4}+8x^{3}+24x^{2}-128x+128\right)x
Use the distributive property to multiply -2x^{2}+32 by x^{2}-4x+4 and combine like terms.
y=-2x^{5}+8x^{4}+24x^{3}-128x^{2}+128x
Use the distributive property to multiply -2x^{4}+8x^{3}+24x^{2}-128x+128 by x.
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