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

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Solution

Factorise the given expression by separating the like terms
Given, $5 y^{2} - 20 y - 8 z + 2 y z$
$= 5 y (y - 4) + 2 z (y - 4) = (y - 4) (5 y + 2 z)$
Therefore, $5 y^{2} - 20 y - 8 z + 2 y z$ can be factorised as $(y - 4) (5 y + 2 z)$ .

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$4 y^{2} + 20 y + 25$

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