SOLUTION: hi im really lost in my math class and my teacher isnt a very big help can you please explain how to simplify these expression thanks a million!:) 2 5 5x + 15

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Question 119534: hi im really lost in my math class and my teacher isnt a very big help can you please explain how to simplify these expression thanks a million!:)
2 5
5x + 15 + x+3

x+2 6
x squared +4x +3 - x+3
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Assume you mean:
2%2F%28%285x%2B+15%29%29 + 5%2F%28%28x%2B3%29%29
:
We can factor the 1st denominator
2%2F%285%28x%2B3%29%29 + 5%2F%28%28x%2B3%29%29
:
The common denominator is 5(x+3), so we have:
%28%282+%2B+5%285%29%29%29%2F%285%28x%2B3%29%29 = 27%2F%285%28x%2B3%29%29
:
;
:
%28%28x%2B2%29%29%2F%28%28x%5E2%2B4x+%2B3%29%29 - 6%2F%28%28x%2B3%29%29
:
The first denominator will factor here also:
%28%28x%2B2%29%29%2F%28%28x%2B1%29%28x%2B3%29%29 - 6%2F%28%28x%2B3%29%29
:
The common denominator will be (x+1)(x+3), right?
%28%28x%2B2%29+-+6%28x%2B1%29%29%2F%28%28x%2B1%29%28x%2B3%29%29 = %28%28x+%2B+2+-+6x+-+6%29%29%2F%28%28x%2B1%29%28x%2B3%29%29 = %28%28-5x+-+4%29%29%2F%28%28x%2B1%29%28x%2B3%29%29
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:
Did this help? Do you understand this now? Let me know.
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