AM-1208

Partial fractions

A Math · Secondary 4 · Hard · Partial fractions

Express

\dfrac{3x^2+1}{(x+2)(x^2+1)}

in the form

\dfrac{A}{x+2}+\dfrac{Bx+C}{x^2+1}

, where

A,B

and

C

are constants.

$\dfrac{13}{5(x+2)}+\dfrac{2x-4}{5(x^2+1)}$
$\dfrac{1}{x+2}+\dfrac{2x+4}{x^2+1}$
$\dfrac{3}{x+2}+\dfrac{x-2}{x^2+1}$
$\dfrac{2}{x+2}+\dfrac{x-4}{x^2+1}$

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