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Varvara68 [4.7K]
4 years ago
6

Factor 9x^3y-25xy^3 completely.

Mathematics
2 answers:
pickupchik [31]4 years ago
6 0
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)}
Katen [24]4 years ago
5 0
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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