Explain why the expression can be rewritten in the form

MATHEMATICS · Subjective · AP · Calculus BC · Integration and Accumulation of Change · Integration and Accumulation of Change

Problem

Explain why the expression

\dfrac{3x+5}{(x-1)(x+2)(x+3)}

can be rewritten in the form

\dfrac{A}{x-1}+\dfrac{B}{x+2}+\dfrac{C}{x+3}

, where

A

B

and

C

are constants.