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Factorisation by Common Factors

Factorize the...

Question

Factorize the polynomial:
$x^{2} - 14 x y + 24 y^{2}$

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Solution

$x^{2} - 12 x y + 24 y^{2}$
$= x^{2} - 12 x y - 2 x y + 24 y^{2}$
$= x (x - 12 y) - 2 y (x - 12 y)$
$= (x - 2 y) (x - 12 y)$
factor are, $(x - 2 y), (x - 12 y)$

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