${{(x - a)(x - b)} \over {(x - c)(x - d)}} = {A \over {x - c}} - {B \over {(x - d)}} + C$, તો $C = . . .. $
Easy
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d
(d) \(A(x - d) - B(x - c) + C(x - c)\,(x - d) = (x - a)\)\((x - b)\)
(d) \(A(x - d) - B(x - c) + C(x - c)\,(x - d) = (x - a)\)\((x - b)\)
Equating coefficient of \({x^2},\,C = 1\).
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