Solve 2x(y-x)^3 - ScanMath

Evaluate

2 x (y - x)^{3}

Use (a - b)^{3} = a^{3} - 3 a^{2} b + 3 a b^{2} - b^{3} to expand the expression

2 x (y^{3} - 3 y^{2} x + 3 y x^{2} - x^{3})

Apply the distributive property

2 x y^{3} - 2 x \times 3 y^{2} x + 2 x \times 3 y x^{2} - 2 x \times x^{3}

Multiply the terms

More Steps

2 x y^{3} - 6 x^{2} y^{2} + 2 x \times 3 y x^{2} - 2 x \times x^{3}

Multiply the terms

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2 x y^{3} - 6 x^{2} y^{2} + 6 x^{3} y - 2 x \times x^{3}

Solution

More Steps

2 x y^{3} - 6 x^{2} y^{2} + 6 x^{3} y - 2 x^{4}

Simplify the expression