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Zeroes of a Polynomial

Factorize: ...

Question

Factorize: $x^{2} - x y - 20 y^{2}$

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Solution

Given: $x^{2} - x y - 20 y^{2}$

$= x^{2} - 5 x y + 4 x y - 20 y^{2}$

$= x (x - 5 y) + 4 y (x - 5 y)$

$= (x + 4 y) (x - 5 y)$

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