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Popular >

factor 2x^3y-6x^2y^3

Solution

factor

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

Solution

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

Solution steps

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

Apply exponent rule:

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

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

= 2 x^{2} x y - 6 x^{2} y y^{2}

Rewrite

- 6

as

3 \cdot 2

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

Factor out common term

2 x^{2} y

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

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Frequently Asked Questions (FAQ)

What is factor 2x^3y-6x^2y^3 ?
The solution to factor 2x^3y-6x^2y^3 is 2x^2y(x-3y^2)