Answer: (a - 1)/(3a - 2)
Explanation:
First lets find a common factor in all of those numbers. We can factor out 'a'!
We're then left with (2a^2 + a - 3)/(6a^2 + 5a - 6)
Now we need to find some more factors.
Lets start at the top.
Factors of -3 are -1, 3, -3, 1
We can therefore factorize the top line to be:
(2a + 3)(a - 1)/(6a^2 + 5a -6)
Sweet! Now lets see if one of those two factors is a factor of the bottom line.
Factors of -6 are -1, 6, 2, -3, -2, 3, -6, 1
We can factorize the bottom line!
(2a + 3)(a - 1)/(3a - 2)(2a + 3)
Now to simplify
= (a - 1)/(3a - 2)
annnd we are done.