SOLUTION: Express result in simplest form 5a – 12 Divided by a^2 – 8a + 15 minus 3a – 2 Divided by A^2 – 8a + 15

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Question 42112: Express result in simplest form

5a – 12
Divided by
a^2 – 8a + 15
minus
3a – 2
Divided by
A^2 – 8a + 15
Answer by psbhowmick(489) About Me  (Show Source):
You can put this solution on YOUR website!
%285a-12%29%2F%28a%5E2-8a%2B+5%29
= %285a+-+12%29%2F%28a%5E2+-+3a+-5a+%2B+15%29
= %285a+-+12%29%2F%28a%28a+-+3%29+-5%28a-+3%29%29
= %285a-+12%29%2F%28%28a+-+3%29%28a+-5%29%29

Similarly,
%283a+-+2%29%2F%28a%5E2+-+8a+%2B+15%29
= %283a+-+2%29%2F%28%28a+-+3%29%28a+-5%29%29

Then, %285a+-12%29%2F%28a%5E2+-+8a+%2B+15%29+-+%283a+-+2%29%2F%28a%5E2+-+8a+%2B+15%29
= %285a+-12%29%2F%28%28a+-3%29%28a+-+5%29%29+-+%283a+-+2%29%2F%28%28a+-+3%29%28a+-+5%29%29
= %28%285a-12%29-%283a-2%29%29%2F%28%28a-3%29%28a-5%29%29
= %285a-12-3a%2B2%29%2F%28%28a-3%29%28a-5%29%29
= %282a-10%29%2F%28%28a-3%29%28a-5%29%29
= %282%28a-5%29%29%2F%28%28a-3%29%28a-5%29%29
= 2%2F%28a-3%29