This paper shows how the dual polynomial method, which in prior articles was used solely with regard to uniform power identities, can also be used with regard to non-uniform power identities. In this connection, the definition of “Lucasian twin” is expanded.

Fibonacci, Lucas, identity, uniform power, primitive identity, congruent identity, generalized recurrence sequence, Melham’s conjecture, uniform power function, uniform power sum, uniform power identity, UPI, Lucasian twin, base sequence, Lucas sequence, Hyper-Lucas sequence, non-uniform power identity, Morgado’s identity, Cassini’s formula, Brisbane identities.