Solve y=-2x^3(x-1)^2(x+3) | Microsoft Math Solver

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y=-2x^{3}\left(x^{2}-2x+1\right)\left(x+3\right)

Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-1\right)^{2}.

y=\left(-2x^{5}+4x^{4}-2x^{3}\right)\left(x+3\right)

Use the distributive property to multiply -2x^{3} by x^{2}-2x+1.

y=-2x^{6}-2x^{5}+10x^{4}-6x^{3}

Use the distributive property to multiply -2x^{5}+4x^{4}-2x^{3} by x+3 and combine like terms.

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