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Question: Alternative command to collect

Question:Alternative command to collect

Babak 70 Maple
collect factor
March 24 2016
2

Consider you have an expression like:

f := (125*x^3+525*x^2*y+735*x*y^2+343*y^3-36*z^2)/(-216*z^3+25*x^2+70*x*y+49*y^2)

By hand and spending much time maybe we can find out so far that:

f := ((5*x+7*y)^3-(6*z)^2)/((5*x+7*y)^2-(6*z)^3)

I thought that the code `combine(f)` would give us the second one, but it didn’t. Is there anything obvious I cannot see?

Thanks for the time.
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