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Question

Factorize:
$m^{2} - 4 m - 21$

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Solution

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We need to factorise $m^{2} - 4 m - 21$
It can be written as $m^{2} - 4 m - 21 = m^{2} - 7 m + 3 m - 21$
$= m (m - 7) + 3 (m - 7)$
$= (m - 7) (m + 3)$

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