Question

Factor out the greatest common factor.2a(x+y)-3b(x+y)

Answer 1

`(x+y)(2a-3b)`

1) Let's begin with this exercise by factoring out this expression. Note that we can see that there is a repetition. The factor (x+y) appears twice. This allows us to write the following:

`\begin{gathered} 2a\left(x+y\right)-3b\left(x+y\right)\:\:Factor\:out\:the\:common\:term:(x+y) \\ \\ (x+y)(2a-3b) \end{gathered}`

2) Actually, this question presents this expression 2a(x+y)-3b(x+y) almost factored completely. Thus, the answer is:

`\left(x+y\right)\left(2a-3b\right)`