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r ^2 / r^2 - 1 = r ^2 / (r -1) (r + 1)

Hence shouldn't it be

A / (r-1) + B / (r +1 ) instead?? However the question stated A + B / (r -1) + C / (r + 1) so how did the " A " come about?? In this case, do we have to do long division before solving the equation?