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Taking Out Common Factors

Factorise15pq...

Question

Factorise
$15 p q + 15 + 9 q + 25 p$

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Solution

$15 p q + 15 + 9 q + 25 p = 15 p q + 9 q + 25 p + 15 = 3 \times 5 \times p \times q + 3 \times 3 \times q + 5 \times 5 \times p + 3 \times 5 = 3 q (5 p + 3) + 5 (5 p + 3) = (5 p + 3) (3 q + 5)$

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