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## QuestionMathsClass 8

Factorize: $$25x^{2}y-10xy^{2}$$

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;
$$5xy(5x-2y)$$
$$\therefore 25x^{2}y-10xy^{2}=5xy(5x-2y)$$.