A Further Common $$q$$-Extension of the (F.2) and (G.2) Supercongruences of Van Hamme

In this paper, we prove a $$q$$ -supercongruence modulo the cube of a cyclotomic polynomial, which is a further common generalization of the (F.2) and (G.2) supercongruences of Van Hamme. The main ingredients of our proof include a basic hypergeometric summation by Jackson and the method of creative microscoping devised by Guo and Zudilin.