SOLUTION: I am stuck on a multiplication problem. I hope someone can help. a^2 - 1 2a + 6 ___________ x _______ a^2 - 2a -15 a^2 - a

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Question 127503: I am stuck on a multiplication problem. I hope someone can help.

a^2 - 1 2a + 6
___________ x _______
a^2 - 2a -15 a^2 - a
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%28%28a%5E2+-+1%29%2F%28a%5E2+-+2a+-15%29%29%28%282a+%2B+6%29%2F%28a%5E2+-+a%29%29 Start with the given expression

Factor a%5E2+-+1 to get %28a%2B1%29%28a-1%29

Factor a%5E2+-+2a+-15 to get %28a-5%29%28a%2B3%29

Factor 2a+%2B+6 to get 2%28a%2B3%29

Factor a%5E2+-+a to get a%28a-1%29


%28a%2B1%29%28a-1%292%28a%2B3%29%2F%28a-5%29%28a%2B3%29a%28a-1%29 Combine the fractions

Cancel like terms

2%28a%2B1%29%2Fa%28a-5%29 Simplify



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Answer:


So %28%28a%5E2+-+1%29%2F%28a%5E2+-+2a+-15%29%29%28%282a+%2B+6%29%2F%28a%5E2+-+a%29%29 simplifies to 2%28a%2B1%29%2Fa%28a-5%29


In other words,