Factorise $20 x^{2} + 3 x - 56$

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Solution

$20 x^{2} + 3 x - 56$
$= 20 x^{2} + 35 x - 32 x - 56$
$= 5 (4 x^{2} + 7 x) - 8 (4 x + 7)$
$= 5 x (4 x + 7) - 8 (4 x + 7)$
$= (5 x - 8) (4 x + 7)$ .

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