F) Why is (3x + 5) (x - 2) + (2x - 3) (x - 2) not in factored form? What is the correct final factored form? What is this factoring method called?
I see a "common" factor of (x-2) , so ...
(3x + 5) (x - 2) + (2x - 3) (x - 2)
= (x-2)[(3x+5) + (2x-3)]
= (x-2)(5x+2)