Factorise :
$z^{2} - z - 2$

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Solution

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

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