We study sums of powers of Fibonacci and Lucas polynomials of the form and ∑qn=0Lktsn, where s,t,k are given natural numbers, together with the corresponding alternating sums ∑qn=0(−1)nFktsn(x) and ∑qn=0(−1)nLktsn(x). We give sufficient conditions on the parameters s,t,k for express these sums as linear combinations of certain s-Fibopolynomials.
