" When "n" is a the integer then "(n^(2))!" is "

When n is a positive integer,then (n^(2))! is

Show that ((sinA+sinB)/(cosA+cosB))^(n) + ((cosA-cosB)/(sinA-sinB))^(n) = 2 "tan"^(n) (A+B)/2 when n is an even integer, 0, when n is an odd integer.

If 1;w;w^(2) are cube root of unity and n is a positive integer; then 1+w^(n)+w^(2n)={3; When n is multiple of 3;0; when n is not a multiple of 3

If 1;w;w^2 are cube root of unity and n is a positive integer;then 1+w^n+w^(2n) = {3; When n is multiple of 3; 0; when n is not a multiple of 3

If n is an odd integer then n ^(2) -1 is divisible by

If n be any integer, then n(n+1) (2n+1) is-

If ‘n’ be any integer ,then n(n+1)( 2n+1) is :

If n is an odd integer, prove that n^(2) is also an odd integer.

When n is any postive integer,the expansion (x+a)^(n) = .^(n)c_(0)x^(n) + .^(n)c_(1)x^(n-1)a + ……. + .^(n)c_(n)a^(n) is valid only when

When n is any postive integer,the expansion (x+a)^(n) = .^(n)c_(0)x^(n) + .^(n)c_(1)x^(n-1)a + ……. + .^(n)c_(n)a^(n) is valid only when