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Question

Factorize: \(25x^{2}y-10xy^{2}\)

Answer

Given: \(25x^{2}y-10xy^{2}\)
Factorising the terms, we get;
\(25x^2y=5\times 5\times x\times x\times y\)
\(10xy^2=2\times 5\times x\times y\times y\)
The common factor from both the terms is \(5xy\).
Take the common factor out of the expression, we get;
\(5xy(5x-2y)\)
\(\therefore 25x^{2}y-10xy^{2}=5xy(5x-2y)\).
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