SOLUTION: Can you help me with the expression please?! 3/x^2+4x+3 - 1/x^-9 THANK YOU!!

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Question 54700: Can you help me with the expression please?!
3/x^2+4x+3 - 1/x^-9
THANK YOU!!

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
3/(x^2+4x+3) - 1/(x^-9)
= 3/[(x+3)(x+1)] - 1/[(x+3)(x-3)]
The LCD is (x+1)(x+3)(x-3)
Write each fraction with LCD as its denominator, as follows:
=3(x-3)/LCD - (x+1)/LCD
=[3x-9-x-1]/LCD
=[2x-10]/LCD
=[2(x-5)]/[(x+1)(x+3)(x-3)]
Cheers,
stan H.

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