SOLUTION: {{{(12-4a)/(2a^2-18)}}} I can't seem to figure this I came up with -2/a-6 I don't think that is right

Question 128521:
I can't seem to figure this
I came up with -2/a-6 I don't think that is right
Answer by marcsam823(57) (Show Source): You can put this solution on YOUR website!

1. Factor a -4 out of the numerator:

2. Factor a 2 out of the denominator:

3. is the difference of two perfect squares so we can use the formula:
Therefore:

4. Our expression is now:

5. Simplify by
a) cancelling out the (a - 3) term
b) dividing 2 out of both numerator and denominator
6. We are left with:

You were close!