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Q.

Factorise: 6p − 24q

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a

6(p − q)

b

6(1 − 4q)

c

3(2 - 12q)

d

6(p − 4q)

answer is A.

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Detailed Solution

detailed_solution_thumbnail

Given: 6p − 24q

6p = 2 × 3 × p

24q = 2 × 2 × 2 × 3 × q

The common factors in the given two terms are 2 and 3.

∴ 6p − 24q = (2 × 3 × p) − (2 × 2 × 2 × 3 × q)

= 2 × 3(p − 4q)

= 6(p − 4q)

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