Factorise $8 a^{2} - 22 a b + 15 b^{2}$ .

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Solution

$8 a^{2} - 22 a b + 15 b^{2}$
$= 8 a^{2} - 12 a b - 10 a b + 15 b^{2}$
$= 4 a (2 a - 3 b) - 5 b (2 b - 3 a)$
$= (2 a - 3 b) (4 a - 5 b)$

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