In the expansion of `(x^2 - 1/(x^2))^(16)`, the value of the constant term is _______

In the expansion of (x^(2) + 1 + (1)/(x^(2)))^(n), n in N ,

Find 5th term in the expansion of (2x^2-1/3x)^11 .

If the sum of the binomial coeffiients in the expansion of (x^(2) + (2)/(x^(3)))^(n) is 243 , the term indepandent of x is equal to

In the expansion of (x +a)^n , the sums of the odd and the even terms are O and E respectively, prove that : O^2-E^2= (x^2-a^2)^n .

In the expansion of (x +a)^n , the sums of the odd and the even terms are O and E respectively, prove that : 4OE=(x+a)^(2n)-(x-a)^(2n) .

For the polynomial (x^3+2x+1)/5-7/2x^2-x^6 , write the constant term.

If the middle term in the expansion (x^(2)+1//x)^(n) is 924 x^(6) , then find the value of n.