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Factorisation by Common Factors

Factorise: ...

Question

Factorise: $6 x^{2} + 11 x - 10$

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Solution

$6 x^{2} + 11 x - 10$
$\Rightarrow 6 x^{2} + 15 x - 4 x - 10$
$\Rightarrow 3 x (2 x + 5) - 2 (2 x + 5)$
$\Rightarrow (3 x - 2) (2 x + 5)$
Hence, the answer is $(3 x - 2) (2 x + 5) .$

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