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Factorize the algebraic expression $9 a (6 a − 5 b) − 12 a 2 (6 a − 5 b)$ .

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6 a + 5 b 9 a − 12 a 2

6 a − 5 b 9 a − 12 a 2

6 a + 5 b 9 a + 12 a 2

None of these

answer is B.

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Detailed Solution

Given expression is

9 a (6 a − 5 b) − 12 a 2 (6 a − 5 b)

.
Taking

6 a − 5 b

as a common factor,

9 a 6 a − 5 b − 12 a 2 6 a − 5 b = 6 a − 5 b 9 a − 12 a 2

Therefore, the factors of

9 a 6 a − 5 b − 12 a 2 6 a − 5 b

6 a − 5 b 9 a − 12 a 2

.
Hence, option 2 is correct.

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