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There are numbers A and B for which

\[\frac A{x-1}+\frac B{x+1}=\frac{x+2}{x^2-1}\]

for every number $x\neq\pm1$. Find $A-B$

 Feb 14, 2021
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By the method of partial fractions, A = 2 and B = 1, so A - B = 1.

 Feb 14, 2021

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