Factorize 15pq + 15 + 9q + 25p [2 Marks]

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Solution

Concept: 1 Mark
Application: 1 Mark

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

$= 15 p q + 9 q + 25 p + 15$

$= 3 \times 5 \times p \times q + 3 \times 3 \times q + 5 \times 5 \times p + 3 \times 5$

$= 3 q (5 p + 3) + 5 (5 p + 3)$

$= (5 p + 3) (3 q + 5)$

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