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I have some function:

f[a_,b_,c_]:=Sqrt[a^2+b^2+c^2]

Is there a way that I can factor out parameter (variable) b like this:

f[a_,b_,c_]:=b Sqrt[(a/b)^2+1+(c/a)^2]

in Mathematica, and call these new factored variables (a/b) and (c/b) as p and q respectively?

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What about

Simplify[ Sqrt[a^2 + b^2 + c^2] /. {a -> p b, c -> q b}, b > 0]
(*b Sqrt[1 + p^2 + q^2]*)

?

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  • $\begingroup$ It works! Thanks! $\endgroup$ – Theorist Oct 10 '18 at 10:38

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