Question: expand fraction

i am trying to get maple to expand this expression into one entire fraction: a(1/2*e+1/2*f)^3+b(1/2*e+1/2*f)^2+c(1/2*e+1/2*f)+d and then after i need to substitute the sum of certain terms into the new expression...ie ae^3+be^2+ce+d = 0 also, is it possible to have the above expression entered in as an ordered pair, and then expanded and expressed in an ordered pair: ie expand this: ((e+f)/2,a(1/2*e+1/2*f)^3+b(1/2*e+1/2*f)^2+c(1/2*e+1/2*f)+d)
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