Write the simplest form in which a proper rational function

MATHEMATICS · Subjective · CBSE · Mathematics · Integrals · Integrals

Problem

Write the simplest form in which a proper rational function P(x)(x−a)(x−b)(x−c)\dfrac{P(x)}{(x-a)(x-b)(x-c)}, where aa, bb and cc are distinct real numbers, can be expressed as a sum of simpler rational terms.

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