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Factorisation by Regrouping Terms

Factorise : ...

Question

Factorise :
$m^{2} + 3 m - 4$

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Solution

To Factorise : $m^{2} + 3 m - 4$
By splitting the middle term,
$= m^{2} - 4 m - m - 4$
$= m (m + 4) - 1 (m + 4)$
$= (m - 1) (m + 4)$
So, $m^{2} + 3 m - 4 = (m - 1) (m + 4)$

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