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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)}](/tpl/images/0749/0473/4ccb6.png)
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