Factorize:
$25 x^{2} - 20 x y + 4 y^{2}$

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Solution

Given expression is $25 x^{2} - 20 x y + 4 y^{2}$
$25 x^{2} - 20 x y + 4 y^{2}$
$= 25 x^{2} - 10 x y - 10 x y + 4 y^{2}$
$= 5 x (5 x - 2 y) - 2 y (5 x - 2 y)$
$= (5 x - 2 y) (5 x - 2 y)$
$= (5 x - 2 y)^{2}$

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