How do you write the partial fraction decomposition of the rational expression $( x-5)/(x-2)^2$ ?

Question

787 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-06-12T15:02:25

$1/(x-2) -3/(x-2)^2$

$(x-5)/(x-2)^2$
$= ((x-2)-3)/(x-2)^2$
$= (x-2)/(x-2)^2 -3/(x-2)^2$
$= 1/(x-2) - 3/(x-2)^2$

How do you write the partial fraction decomposition of the rational expression ( x-5)/(x-2)^2( x-5)/(x-2)^2?