AM-399

Partial fractions

A Math · Secondary 3 · Hard · Partial fractions

Express

\dfrac{5}{x(x+3)^2}

in partial fractions in the form

\dfrac{A}{x} + \dfrac{B}{x+3} + \dfrac{C}{(x+3)^2}

. What is the value of

B

?

$-\dfrac{5}{9}$
$\dfrac{5}{9}$
$-\dfrac{5}{3}$
$\dfrac{5}{3}$

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