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Question: cancelling common terms betweeen numerator and denominator

Question:cancelling common terms betweeen numerator and denominator

jrive 195 Maple
simplification
September 26 2024
2

given :

Zin := ((Rsp + (omega*L2 - omega02^2*L2/omega)*I)*(Rpp + (omega*L1 - omega01^2*L1/omega)*I) + 0.01*omega^2*L1*L2)/(Rsp + (omega*L2 - omega02^2*L2/omega)*I)

how do I get Maple to cancel out the common term, and simplify this equation into:

Zin := Rpp + (omega*L1 - omega01^2*L1/omega)*I + (0.01*omega^2*L1*L2)/(Rsp + 
(omega*L2 - omega02^2*L2/omega)*I)

Why doesn't Maple do this automatically with something like simplify or some other command?

Thank you!
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