Mat 117
posted by G .
•I am having trouble figuring out this question. Why is (3x + 5) (x  2) + (2x  3) (x  2) not in factored form? Show specifically how to find the correct final factored form. What is this factoring method called?
Please help. Thank you.

(x2) is common in both terms so you can take that out as a factor.

(3x + 5) (x  2) + (2x  3) (x  2) is partially factored
to finish ...
= (x2)(3x+5 + 2x3)
= (x2)(5x+2) 
What I got waas (x2)(5x+2). Is this right? What would I call this method? Is it distribution?