SOLUTION: Add or subtract as indicated. Express your results in simplist form. 5a - 12 OVER a squared - 8a + 15 MINUS 3a - 2 OVER a squared - 8a + 15

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Add or subtract as indicated. Express your results in simplist form. 5a - 12 OVER a squared - 8a + 15 MINUS 3a - 2 OVER a squared - 8a + 15      Log On


   

Question 115608: Add or subtract as indicated. Express your results in simplist form.
5a - 12 OVER a squared - 8a + 15 MINUS 3a - 2 OVER a squared - 8a + 15
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
5a - 12 OVER a squared - 8a + 15 MINUS 3a - 2 OVER a squared - 8a + 15
:
Assume you mean:
%28%285a-12%29%29%2F%28%28a%5E2-8a%2B15%29%29 - %28%283a-2%29%29%2F%28%28a%5E2-8a%2B15%29%29
:
They have the same denominators, so you can write it:
%28%285a-12%29-%283a-2%29%29%2F%28%28a%5E2-8a%2B15%29%29
:
Remove the brackets, remember a minus outside the brackets changes the signs
%285a-12-3a%2B2%29%2F%28%28a%5E2-8a%2B15%29%29
:
In the numerator, do the math on like terms and you have;
%282a-10%29%2F%28%28a%5E2-8a%2B15%29%29
:
We can factor both the numerator and the denominator here:
%282%28a-5%29%29%2F%28%28a-3%29%28a-5%29%29
:
You can see that the (a-5)'s will cancel, leaving us with:
2%2F%28a-3%29