Solve f(x)=2x(1-2x)^2 | Microsoft Math Solver

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2x\left(1-4x+4x^{2}\right)

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

2x-8x^{2}+8x^{3}

Use the distributive property to multiply 2x by 1-4x+4x^{2}.

2x\left(1-4x+4x^{2}\right)

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

2x-8x^{2}+8x^{3}

Use the distributive property to multiply 2x by 1-4x+4x^{2}.

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