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Taking Out Common Factors

Factorise the...

Question

Factorise the following polynomial.
$2 a x y^{2} + 10 x + 3 a y^{2} + 15$

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Solution

$2 a x y^{2} + 10 x + 3 a y^{2} + 15$

$= (2 a x y^{2} + 3 a y^{2}) + (10 x + 15)$

$= a y^{2} (2 x + 3) + 5 (2 x + 3)$

$= (2 x + 3) (a y^{2} + 5)$

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Taking Out Common Factors

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