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Quadratic Formula

Factorise : ...

Question

Factorise : $m^{2} + 5 m + 6$ .

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Solution

$m^{2} + 5 m + 6$

$= m^{2} + 3 m + 2 m + 6$

$= m (m + 3) + 2 (m + 3)$

$= (m + 3) (m + 2)$

$∴ m^{2} + 5 m + 6 = (m + 3) (m + 2)$

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