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Decompose function into one function for each variable


I have a function :

k[lgd_, pd_] := A[lgd] * B[pd] * C[pd] - D[lgd] * E[pd] * C[pd]

and I woulud like to decompose the function into :

k[lgd_, pd_] = Y[lgd] + Z[pd]

Any ideas how I can make this decomposition ?


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