The largest coefficient in the expansionof `(1+x)^(30)` is_______

The coefficient of x in the expansion of (x+3)^3 is

Statement-1 Greatest coefficient in the expansion of (1 + 3x)^(6) " is " ""^(6)C_(3) *3^(3) . Statement-2 Greatest coefficient in the expansion of (1 + x)^(2n) is the middle term .

The coefficient of x^(n) in the expansion of (1+x)(1-x)^(n) is

Prove that the coefficient of x^n in the expansion of (1+x)^(2n) is twice the coefficient of x^n in the expansion of (1+x)^(2n-1)

Show that the coefficient of x^n in the expansion of (1+x)^(2n) is twice the coefficient of x^n in the expansion of (1+ x)^(2n-1) .

If|x|<1, then the coefficient of x^6 in the expansion of (1+x + x^2)^-3 is:

If the three consecutive coefficients in the expansion of (1 + x)^n are in the ratio 1: 3 : 5, then the value of n is:

If the sum of the coefficient in the expansion of (alpha x^(2) - 2x + 1)^(35) is equal to the sum of the coefficient of the expansion of (x - alpha y)^(35) , then alpha =

Find a positive value of m for which the coefficient of x^2 in the expansion of (1+x)^m is 6.

Find a positive value of m for which the coefficient of x^2 in the expansion (1 + x)^m is 6.