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Factorisation Using Algebraic Identities

Factorise. 4...

Question

Factorise.
${4 x}^{2} + 17 x + 15$

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Solution

$4 x^{2} + 17 x + 15$
$= 4 x^{2} + 12 x + 5 x + 15$
$= 4 x (x + 3) + 5 (x + 3)$
$= (x + 3) (4 x + 5)$

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