What is the number of terms in the expansion of -LSB- math -RSB- -LRB- 1 + x + \ frac -LCB- 1 -RCB- -LCB- x ^ 2 -RCB- -RRB- ^ n -LSB- / math -RSB- ?
What is -LSB- math -RSB- x ^ 2 + \ frac -LCB- 1 -RCB- -LCB- x ^ 2 -RCB- -LSB- / math -RSB- , given -LSB- math -RSB- x + \ frac -LCB- 1 -RCB- -LCB- x -RCB- = 1 -LSB- / math -RSB- ?