x^2(3x+5y)^2-y^2(5x+3y)^2
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x²(3x+5y)²-y²(5x+3y)²

=[x(3x+5y)]²-[y(5x+3y)]²

=(3x²+5xy)²-(5xy+3y²)²

=[(3x²+5xy)+(5xy+3y²)][(3x²+5xy)-(5xy+3y²)]

=(3x²+5xy+5xy+3y²)(3x²+5xy-5xy-3y²)

=(3x²+10xy+3y²)(3x²-3y²)

=3(3x+y)(x+3y)(x+y)(x-y)

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