Factorise the following by splitting the middle terms:

e) $y^{2} - 2 y - 24$

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Solution

Given: $y^{2} - 2 y - 24$
By splitting the middle term, we get,
$= y^{2} - 6 y + 4 y - 24$
$= y (y - 6) + 4 (y - 6)$
$= (y - 6) (y + 4)$
Hence, the answer is $(y - 6) (y + 4)$ .

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