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Then $A \\cong R \\#_\\xi H$ where $R$ is the pre-bialgebra of coinvariants. In this paper we study the deformations of $A$ by an $H$-bilinear cocycle. If $\\gamma$ is a cocycle for $A$, then $\\gamma$ can be restricted to a cocycle $\\gamma_R$ for $R$, and $A^\\gamma \\cong R^{\\gamma_R} \\#_{\\xi_\\gamma} H$. 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Then $A \\cong R \\#_\\xi H$ where $R$ is the pre-bialgebra of coinvariants. In this paper we study the deformations of $A$ by an $H$-bilinear cocycle. If $\\gamma$ is a cocycle for $A$, then $\\gamma$ can be restricted to a cocycle $\\gamma_R$ for $R$, and $A^\\gamma \\cong R^{\\gamma_R} \\#_{\\xi_\\gamma} H$. 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