SOLUTION: add or subract as indicated 5a-12/a^2-8a+15 - 3a-2/a^2-8a+15

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Question 45501: add or subract as indicated
5a-12/a^2-8a+15 - 3a-2/a^2-8a+15
Answer by adamchapman(301) About Me  (Show Source):
You can put this solution on YOUR website!
%285a-12%29%2F%28a%5E2-8a%2B15%29+-+%283a-2%29%2F%28a%5E2-8a%2B15%29
%28%285a-12%29-%283a-2%29%29%2F%28a%5E2-8a%2B15%29
%282a-10%29%2F%28a%5E2-8a%2B15%29
This can be simplified:
%282%28a-5%29%29%2F%28%28a-3%29%28a-5%29%29
and the (a-5)'s cancel:
2%2F%28a-3%29%29
Look at the graph y=%285a-12%29%2F%28a%5E2-8a%2B15%29+-+%283a-2%29%2F%28a%5E2-8a%2B15%29
("a" is on the x-axis)

Now look at the graph y=2%2F%28a-3%29
+graph%28+300%2C+200%2C+-1%2C+10%2C+-10%2C+10%2C+2%2F%28x-3%29%29+ ("a" is on the x-axis)
since they are both exactly the same graph, we can confirm that %285a-12%29%2F%28a%5E2-8a%2B15%29+-+%283a-2%29%2F%28a%5E2-8a%2B15%29=2%2F%28a-3%29
I hope this helps.
Adam
P.S. please visit my website, I only set it up last week and it may be of use to you. The address is http://geocities.com/quibowibbler