不定方程A_1d^(x_1)±A_2d^(x_2)±…±A_nd^(x_n)=N的探究

Exploration on Indeterminate Equation A_1 d^(x_1)±A_2 d^(x_2)±…±A_n d^(x_n)=N

利用递除法给出不定方程方程A1dx1±A2dx2±…±Andxn=N的求解过程,并且讨论其推广的乘积形式。

Solve the indeterminate equation A1 dx1±A2 dx2±…±An dxn=N by using recursive division,and discuss the product form of its expansion.