Coefficient of `x^2` in binomial expansion of `(1 - x)^2` is

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

For beta ne 0 , if the coefficient of x^(3) in the binomial expansion of (1 + betax)^(6) and the coefficient of x^(4) in the binomial expansion of (1 - betax)^(8) are equal, then the value of beta is

The coeffiicent of x^(n) in the binomial expansion of ( 1-x)^(-2) is

The coeffiicent of x^(n) in the binomial expansion of ( 1-x)^(-2) is

Sum of the last 12 coefficients in the binomial expansion of (1 + x)^(23) is:

If r is the remainder obtained on dividing 98^(5) by 12, then the coefficient . of x^(3) in the binomial expansion of (1+x/2)^(2r) is:

The sum of the coefficients in the binomial expansion of (1/x + 2x)^(6) is equal to

The sum of the coefficients in the binomial expansion of (1/x + 2x)^n is equal to 6561. The constant term in the expansion is

The sum of the coefficients in the binomial expansion of (1/x + 2x)^n is equal to 6561. The constant term in the expansion is

Find the coefficient of x^(10) in the binomial expansion of (2x^(2)-(3)/(x))^(11), when x!=0