SOLUTION: could you help me express and simplify this? 5a-12 over a^2-8a+15 minus 3a-2 over a^2-8a+15

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Question 75939: could you help me express and simplify this?
5a-12
over
a^2-8a+15
minus
3a-2
over
a^2-8a+15

Answer by Cintchr(481) About Me  (Show Source):
You can put this solution on YOUR website!
+%28%285a-12%29%2F%28a%5E2-8a%2B15%29%29+-+%28%283a-2%29%2F%28a%5E2-8a%2B15%29%29+
Since the denominators are the same .... subtract the 2 quantities.
+%285a-12-3a%2B2%29%2F%28a%5E2-8a%2B15%29+
combine like terms
+%282a-10%29%2F%28a%5E2-8a%2B15%29+
Factor the numerator and denominator
+2%28a-5%29%2F%28a-3%29%28a-5%29+
Reduce
+2%2F%28a-3%29+
DONE