Partial fractions with multiple variables

[Calim Stevenson]

Hi, I don't understand how to complete a partial fraction when multiple variables are involved. For the example:

m/(p(m-p))

I understand that a result is (1/p)+(1/(m-p)) but I would really like someone to please explain this to me.

Cheers.

 

[topsquark]

[imath]\dfrac{m}{p(m - p)} = \dfrac{A}{p} + \dfrac{B}{m - p}[/imath]

[imath]\dfrac{m}{p(m - p)} = \dfrac{A(m - p) + Bp}{p(m - p)}[/imath]

[imath]\dfrac{m}{p(m - p)} = \dfrac{Am - Ap + Bp}{p(m - p)}[/imath]

[imath]\dfrac{m}{p(m - p)} = \dfrac{Am + (-A + B)p}{p(m - p)}[/imath]

Continue...

-Dan