A type of nonlinear expressions of Lucas sequences are established inspired by Hsu [A nonlinear expression for Fibonacci numbers and its consequences. J. Math. Res. Appl., 2012, 32(6): 654--658]. Using the relationships between the Lucas sequence and other linear recurring sequences satisfying the same recurrence relation of order $2$, i.e., the Horadam sequences, we may transfer the identities of Lucas sequences to the latter.
