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Factorisation by Common Factors

Factorise. 6...

Question

Factorise.
$6 x^{2} - 11 x y - 10 y^{2}$

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Solution

$6 x^{2} - 11 x y - 10 y^{2}$
$= 6 x^{2} - 15 x y + 4 x y - 10 y^{2}$
$= 3 x (2 x - 5 y) - 2 y (2 x - 5 y)$
$= (2 x - 5 y) (3 x - 2 y)$
Hence the factors are $(2 x - 5 y) (3 x - 2 y)$

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