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Factorisation by Common Factors

Factorise the...

Question

Factorise the expression: $5 y^{2} - 20 y - 8 z + 2 y z$

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Solution

$5 y^{2} - 20 y - 8 z + 2 y z$
$= 5 y^{2} - 20 y + 2 y z - 8 z$
$= 5 y (y - 4) + 2 z (y - 4)$
$= (y - 4) (5 y + 2 z)$

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