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Popular >

factor 5x^4y-20xy^3

Solution

factor

5 x^{4} y - 20 x y^{3}

Solution

5 x y (x^{3} - 4 y^{2})

Solution steps

5 x^{4} y - 20 x y^{3}

Apply exponent rule:

a^{b + c} = a^{b} a^{c}

x^{4} y = x x^{3} y, x y^{3} = x y y^{2}

= 5 x x^{3} y - 20 x y y^{2}

Rewrite

- 20

as

4 \cdot 5

= 5 x x^{3} y + 4 \cdot 5 x y y^{2}

Factor out common term

5 x y

= 5 x y (x^{3} - 4 y^{2})

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Frequently Asked Questions (FAQ)

What is factor 5x^4y-20xy^3 ?
The solution to factor 5x^4y-20xy^3 is 5xy(x^3-4y^2)