Factorise.
$6 a^{2} + 7 a - 5$

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Solution

$6 a^{2} + 7 a - 5$
$= 6 a^{2} + 10 a - 3 a - 5$
$= 2 a (3 a + 5) - 1 (3 a + 5)$
$= (2 a - 1) (3 a + 5)$
Hence the factors are $(2 a - 1) (3 a + 5)$

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