Question

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

Answer 1

$$\begin{gathered} 4(x+y)(3a-b)+6(x+y)(2b-3a) \\ =2(x+y)\left[2\right(3a-b)+3(2b-3a\left)\right]\{Taking[2(x+y)]asthecommonfactor\} \\ =2(x+y)(6a-2b+6b-9a) \\ =2(x+y)(4b-3a) \end{gathered}$$