In the expansion of `(1 + x)^(n) (1 + y)^(n) (1 + z)^(n)` , the sum of the co-efficients of the terms of degree 'r' is

Prove that in the expansion of (1+x)^n(1+y)^n(1+z)^n , the sum of the coefficients of the terms of degree ri s^(3n)C_r .

Prove that in the expansion of (1+x)^n(1+y)^n(1+z)^n , the sum of the coefficients of the terms of degree ri s^(3n)C_r .

In the expansion of (1+x)^(n), the sum of the coefficients of the terms in even positions is 2^(n-1)

how that the coefficient of (r+1) th in the expansion of (1+x)^(n+1) is equal to the sum of the coefficients of the r th and (r+1) th term in the expansion of (1+x)^(n)

how that the coefficient of (r+1) th in the expansion of (1+x)^(n+1) is equal to the sum of the coefficients of the r th and (r+1) th term in the expansion of (1+x)^n

prove that the coefficient of the (r +1)th term in the expansion of (1+x)^(n) is equal to the sum of the coefficients of the rth and (r+1)th terms in the expansion of (1+x)^(n-1)

Show that the coefficient of the middle term in the expansion of (1 + x)^(2n) is the sum of the coefficients of two middle terms in the expansion of (1 + x)^(2n-1) .

The middle term in the expansion of (1 - (1)/(x))^(n) (1 - x)^(n) is

The middle term in the expansion of (1 - (1)/(x))^(n) (1 - x)^(n) is