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Let 1/((x-a)(x-b)) = A/(x-a) + B/(x-b). Then A equals what?

A1/(a + b)
Ba - b
C1/(a - b)
D1/(b - a)
Answer & Solution
Correct answer: C. 1/(a - b)
Multiply by (x-a) and put x = a to get A = 1/(a-b).
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