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Question: How to take the rational function apart into the sum of several proper fractions?

Question:How to take the rational function apart into the sum of several proper fractions?

Mitterrand 25 Maple
expand rational fraction
August 26 2017
1

The expression is:

sqrt(Dp)*(-Dp*sqrt(s+thetac)*alpha1*pinf*s^2-2*Dp*sqrt(s+thetac)*alpha1*pinf*s*thetac-Dp*sqrt(s+thetac)*alpha1*pinf*thetac^2+A2*Dp*sqrt(s+thetac)*alpha1*s+A2*Dp*sqrt(s+thetac)*alpha1*thetac+Dc*sqrt(s+thetac)*alpha1*pinf*s^2+Dc*sqrt(s+thetac)*alpha1*pinf*s*thetac+A1*Dc*alpha1*s^2+A1*Dc*alpha1*s*thetac+A1*sqrt(Dc)*sqrt(s+thetac)*s^2+A1*sqrt(Dc)*sqrt(s+thetac)*s*thetac-A2*Dc*sqrt(s+thetac)*alpha1*s)*exp((-lh+x)*sqrt(s)/sqrt(Dp))/((s+thetac)^(3/2)*s*(Dc*s-Dp*s-Dp*thetac)*(-sqrt(Dp)*alpha1+sqrt(s)))
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