SOLUTION: ((x+3)/(x-2))+((x+3)/(x+6)) i tried the universal simplifier but it didnt work. please help!

Question 80646: ((x+3)/(x-2))+((x+3)/(x+6))
i tried the universal simplifier but it didnt work. please help!
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
((x+3)/(x-2))+((x+3)/(x+6))
i tried the universal simplifier but it didnt work. please help!
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Good Lord!, what is the universal simplifier????
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Your Problem:
The least common denominator (lcm) is (x-2)(x+6)
Rewrite each fraction with the lcm as its denominator:
[(x+1)(x+6)]/lcm + [(x+3)(x-2)]/lcm
Combine the numerators over the lcm:
[x^2+7x+6 + x^2+x-6]/lcm
Simplify:
[2x^2+8x]/lcm
[2x(x+8)]/[(x-2)(x+6)]
No more simplifying is possible.
=============
Cheers,
Stan H.
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