\(x = {1+\frac{\sqrt{2}}{1+\frac{\sqrt{2}}{1+...}}}. Find \frac{1}{(x+1)(x-2)}. When your answer is in the form \)\(\frac{A+\sqrt{B}}{C}, where A, B, and C are integers, and B is not divisible by the square of a prime, what is |A|+|B|+|C|?\)
As follows:
+171 
