Solve (5x^4y^2 + 20xy^6 - 10x) / 5xy^2

Evaluate

\frac{5 x ^{4} y ^{2} + 20 x y ^{6} - 10 x}{5} \times x y^{2}

Divide the terms

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(x^{4} y^{2} + 4 x y^{6} - 2 x) x y^{2}

Multiply the first two terms

x (x^{4} y^{2} + 4 x y^{6} - 2 x) y^{2}

Multiply the terms

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(x^{5} y^{2} + 4 x^{2} y^{6} - 2 x^{2}) y^{2}

Apply the distributive property

x^{5} y^{2} \times y^{2} + 4 x^{2} y^{6} \times y^{2} - 2 x^{2} y^{2}

Multiply the terms

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x^{5} y^{4} + 4 x^{2} y^{6} \times y^{2} - 2 x^{2} y^{2}

Solution

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x^{5} y^{4} + 4 x^{2} y^{8} - 2 x^{2} y^{2}

Simplify the expression