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Factorisation by Common Factors

Factorise : ...

Question

Factorise : $z^{2} - 32 z - 105$

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Solution

$z^{2} - 32 z - 105$
$= z^{2} - 35 z + 3 z - 105$
$= z (z - 35) + 3 (z - 35)$
$= (z + 3) (z - 35)$
Hence, the answer is $(z + 3) (z - 35) .$

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