  In this paper, we show the scattering and blow-up result of the radial
solution with the energy below the threshold for the nonlinear Schr\"{o}dinger
equation (NLS) with the combined terms iu_t + \Delta u = -|u|^4u + |u|^2u
\tag{CNLS} in the energy space $H^1(\R^3)$. The threshold is given by the
ground state $W$ for the energy-critical NLS: $iu_t + \Delta u = -|u|^4u$. This
problem was proposed by Tao, Visan and Zhang in \cite{TaoVZ:NLS:combined}. The
main difficulty is the lack of the scaling invariance. Illuminated by
\cite{IbrMN:f:NLKG}, we need give the new radial profile decomposition with the
scaling parameter, then apply it into the scattering theory. Our result shows
that the defocusing, $\dot H^1$-subcritical perturbation $|u|^2u$ does not
affect the determination of the threshold of the scattering solution of (CNLS)
in the energy space.
