Factor 9x^3y-25xy^3 completely.

asked Jul 3, 2015 186k views

3 votes

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3 votes

$9x^3y-25xy^3=\\\\xy(9x^2-25y^2)=\ \ \ |from\ ( a^2-b^2)=(a-b)(a+b)\\\\xy(3x-5y)(3x+5y)$

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$9x^3y-25xy^3=xy(9x^2-25y^2)=xy\underbrace{\left[(3x)^2-(5y)^2\right]}_(use\ a^2-b^2=(a-b)(a+b))\\\\=\boxed{xy(3x-5y)(3x+5y)}$

Dewi answered Jul 8, 2015

by Dewi

7.3k points

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