$\begin{align}  & {{a}^{2x}}-24{{a}^{x}}+108\overset{{{a}^{x}}-2\text{                  }}{\overline{\left){\begin{align}  & {{a}^{3x}}-26{{a}^{2x}}+156{{a}^{x}}-216 \\ & \underline{{{a}^{3x}}-24{{a}^{2x}}+108{{a}^{x}}\text{         }} \\ & \text{     }-2{{a}^{2x}}+48{{a}^{x}}-216 \\ & \underline{\text{     }-2{{a}^{2x}}+48{{a}^{x}}-216\text{    }} \\ & ------------- \\\end{align}}\right.}} \\ & \frac{{{a}^{3x}}-26{{a}^{2x}}+156{{a}^{x}}-216}{{{a}^{2x}}-24{{a}^{x}}+108}={{a}^{x}}-2 \\\end{align}$