Math

Can (4x^3)y - 9xy^3 factor?

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  1. Take out the obvious common factor xy:
    (4x^3)y - 9xy^3
    =xy(4x^2 - 9y^2)
    and factor as difference of two squares
    =xy((2x)²-(3y)²)
    =xy(2x+3y)(2x-3y)

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