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in Factorization by (64.6k points)

Factorize each of the following algebraic expressions:

4(x + y) (3a – b) + 6(x + y) (2b – 3a)

1 Answer

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Best answer

We have,

4(x + y) (3a – b) + 6(x + y) (2b – 3a)

= (x + y) [4(3a – b) + 6(2b – 3a)]

= (x + y) [12a – 4b + 12b – 18a]

= (x + y) [-6a + 8b]

= (x + y) 2(-3a + 4b)

= (x + y) 2(4b – 3a)

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