SOLUTION: OK I need to simplify this question x-2 / 3x-2y *times* 9x^2-4y^2 / 2x^2+x-10 A) 3x-2y / 7x+1 B) 3x+2y / 2x-5 C) 3x+2y / 2x-5 D) 3x^2+2y^2 / 2x+5 Thanks!

Algebra ->  Algebra  -> Radicals -> SOLUTION: OK I need to simplify this question x-2 / 3x-2y *times* 9x^2-4y^2 / 2x^2+x-10 A) 3x-2y / 7x+1 B) 3x+2y / 2x-5 C) 3x+2y / 2x-5 D) 3x^2+2y^2 / 2x+5 Thanks!      Log On

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Question 36411: OK I need to simplify this question
x-2 / 3x-2y
*times*
9x^2-4y^2 / 2x^2+x-10
A) 3x-2y / 7x+1
B) 3x+2y / 2x-5
C) 3x+2y / 2x-5
D) 3x^2+2y^2 / 2x+5
Thanks!
Answer by ilana(305) About Me  (Show Source):
You can put this solution on YOUR website!
Based on the fact that your B and C are the same and I got a different but similar answer, I'm guessing you had a typo. I got 3x+2y / 2x+5.
The first fraction, x-2 / 3x-2y, does not simplify. In the other, though, we have 2 factorable expressions. 9x^2-4y^2 is the difference of 2 squares, so it is (3x+2y)(3x-2y). 2x^2+x-10 can be factored to (2x+5)(x-2). So, everything cancels out except (3x+2y)/(2x+5).