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:
[tex]\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}[/tex]2) Actually, this question presents this expression 2a(x+y)-3b(x+y) almost factored completely. Thus, the answer is:
[tex]\left(x+y\right)\left(2a-3b\right)[/tex]