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Which pair of fractions adds up to (2x+1)/(x^2+x-2)?

A1/(x-1) - 1/(x+2)
B3/(x-1) + 3/(x+2)
C2/(x-1) + 1/(x+2)
D1/(x-1) + 1/(x+2)
Answer & Solution
Correct answer: D. 1/(x-1) + 1/(x+2)
The denominator is (x-1)(x+2); at x = 1 the coefficient is 3/3 = 1 and at x = -2 it is -3/(-3) = 1.
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