AM-128

Partial fractions

A Math · Secondary 3 · Hard · Partial fractions

Express

\dfrac{4x^2+1}{x^2-1}

in the form

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

. What is the value of

B

?

$-\dfrac{5}{2}$
$\dfrac{5}{2}$
$-\dfrac{1}{2}$
$\dfrac{1}{2}$

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