Question 977079: Simplify completely: x-2/2a-3 times 3-2a/2x-4
I don't know where to begin actually.
Answer by Boreal(15235)   (Show Source):
You can put this solution on YOUR website! (x-2)/(2a-3) * (3-2a)/2(x-2) I factored the denominator of the second part.
recognize that 3-2a = -(2a-3), so I may rewrite.
(x-2)/(2a-3) * - (2a-3)/(2(x-2))
- 1/2 Everything else cancels out, the (x-2) in the first term with 2(x-2) below in the second, leaving a 2, and the (2a-3) cancels.
Key thing
(4-x) does not cancel (x-4) as an example.
BUT 4-x= - (x-4) and then you cancel. You have to have a sign change.
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