SOLUTION: add or subtract as indicated, express your results in simplest form 5a-12/a^2-8a+15 - 3a-2/a^2-8a+15

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Question 48250: add or subtract as indicated, express your results in simplest form
5a-12/a^2-8a+15 - 3a-2/a^2-8a+15

Answer by tutorcecilia(2152)   (Show Source): You can put this solution on YOUR website!
5a-12/a^2-8a+15 - 3a-2/a^2-8a+15 [Since the denominators are the same, subtract]
(5a-12) - (3a - 2)/a^2-8a+15 [Combine like-terms]
5a-12 - 3a + 2/a^2-8a+15
2a-10/a^2-8a+15 [Factor wherever possible]
2(a-5)/(a-5)(a-3) [Cancel out wherever possible]
2/a-3 [Final answer]

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