SOLUTION: What is the quotient in simplified form? State any restrictions on the variable a +2/a-5/a+1/a^2-8a+15

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Question 953774: What is the quotient in simplified form? State any restrictions on the variable
a +2/a-5/a+1/a^2-8a+15
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
What is the quotient in simplified form? State any restrictions on the variable
%28a+%2B2%29%2F%28a-5%29
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%28a%2B1%29%2F%28a%5E2-8a%2B15%29
:
invert the dividing fraction and multiply
%28a+%2B2%29%2F%28a-5%29 * %28a%5E2-8a%2B15%29%2F%28a%2B1%29
factor
%28a+%2B2%29%2F%28a-5%29 * %28%28a-3%29%28a-5%29%29%2F%28a%2B1%29
cancel (a-5)
(a + 2) * %28%28a-3%29%29%2F%28a%2B1%29 = %28a%5E2-s-6%29%2F%28a%2B1%29
:
a cannot = -1, 3 or 5, (division by 0)