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Question

Factorise:

(7) 15p2q − 20q

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Solution

15p2q − 20q
15p2q = 3 × 5 × p × p × q
20q = 2 × 2 × 5 × q
Here, 5 and q are the common factors of the given terms.
Hence, 15p2q − 20q = 5 × q (3 × p × p − 2 × 2)
= 5q (3p2 − 4)

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