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Factorisation by Common Factors

Factorise: 6...

Question

Factorise:
$6 a (a - 2 b) + 5 b (a - 2 b)$

A

(a - b) (6 a + 5 b)

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B

(a - 2 b) (6 a + 5 b)

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C

(a - 2 b) (3 a + 5 b)

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D

(a - b) (3 a + 5 b)

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Solution

The correct option is B $(a - 2 b) (6 a + 5 b)$
$6 a (a - 2 b) + 5 b (a - 2 b)$
taking (a -2b) common,
$= (a - 2 b) (6 a + 5 b)$

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