Question

Factorize each of the following algebraic expressions:
4(x + y) (3a − b) +6(x + y) (2b − 3a)

Answer 1

\[4(x + y)(3a - b) + 6(x + y)(2b - 3a) \]
\[ = 2(x + y)[2(3a - b) + 3(2b - 3a)] {\text{ Taking }[2 (x + y)] \text{ as the common factor }}\]
\[ = 2(x + y)(6a - 2b + 6b - 9a)\]
\[ = 2(x + y)(4b - 3a)\]