Let (√2 + 1)10 = u + f where u is a positive integer and 0 < f < 1, and let v = (√2 - 1)10. What is the multiplicative inverse of (√2 + 1)20?

The expansion of (1 + x2)-1/2 is:

If the coefficient of the 4th term in the expansion of (1 + x)n is 35, find the value of n.

The total number of terms in the expansion of (x + 3y)16 is: