For two particles’ relative position and total momentum we have introduced the entangled state representation |η?, and its conjugate state |ξ?. In this work, for the first time, we study them via the integration over ket–bra operators in Q-ordering or P-ordering, where Q-ordering means all Qs are to the left of all Ps and P-ordering means all Ps are to the left of all Qs. In this way we newly derive P-ordered (or Q-ordered) expansion formulas of the two-mode squeezing operator which can show the squeezing effect on both the two-mode coordinate and momentum eigenstates. This tells that not only the integration over ket–bra operators within normally ordered, but also within Pordered (or Q-ordered) are feasible and useful in developing quantum mechanical representation and transformation theory.