SOLUTION: I think I need some help. I am not sure I have the correct answer for this problem could you walk me through it? I have several answers. Subtract and express in simplest form.

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: I think I need some help. I am not sure I have the correct answer for this problem could you walk me through it? I have several answers. Subtract and express in simplest form.       Log On


   

Question 97392: I think I need some help. I am not sure I have the correct answer for this problem could you walk me through it? I have several answers. Subtract and express in simplest form.
5a-12/a^2-8a+15 - 3a - 2/a^2 - 8a + 15
Thank you for your help with this problem.
Answer by jim_thompson5910(35256) 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+%2B+15%29 Start with the given expression

%285a-12-+%283a+-+2%29%29%2F%28a%5E2-8a%2B15%29+ Combine the fractions


%285a-12-+3a+%2B+2%29%2F%28a%5E2-8a%2B15%29+ Distribute the negative


%282a-10%29%2F%28a%5E2-8a%2B15%29+ Combine like terms


2%28a-5%29%2F%28a%5E2-8a%2B15%29+ Factor out the GCF


2%28a-5%29%2F%28%28a-5%29%28a-3%29%29+ Factor the denominator


2%2Across%28%28a-5%29%29%2F%28cross%28%28a-5%29%29%28a-3%29%29+ Cancel like terms


2%2F%28a-3%29+ Simplify



Check:


To verify the answer, simply compare the graphs of %285a-12%29%2F%28a%5E2-8a%2B15%29+-+%283a+-+2%29%2F%28a%5E2+-+8a+%2B+15%29 and 2%2F%28a-3%29+. If they are equivalent (they are), then the answer is verified.