Question 130108
Simplifying complex fractions 
3/x-2 + 5/x+3

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You need a common denominator to add fractions.
The least common denominator is (x-2)(x+3)
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Rewrite each fraction with that denominator:
3(x+3)/lcd + 5(x-2)/lcd

Add the numerators and write over the lcd:
(8x-1)/lcd

= (8x-1)/[(x-2)(x+3)]
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Cheers,
Stan H.