The coefficient of `x^(2017)` in `sum_(r = 0)^(2020)2020C_(r)(x-2018)^(2020-r)(2017)^(r)` is

Coefficient of x^(48) in sum_(r=0)^(50)""^(50)C_(r).(x-2)^(x).3^(50-r) is

Find the coefficient of x^(25) in expansion of expression sum_(r=0)^(50)C_(r)(2x-3)^(r)(2-x)^(50-r)

The co-efficient of x^(2020) in the expansion of (1+x)(1-x)^(2020) is

For r=0,1,.....,10, let A_(r),B_(r),quad and C_(r) denote,respectively,the coefficient of x^(r) in the expansions of (1+x)^(10),(+x)^(20) and (1+x)^(30). Then sum A_(r)(B_(10)B_(r)-C_(10)A_(r)) is equal to

If C_(r) be the coefficients of x^(r) in (1 + x)^(n) , then the value of sum_(r=0)^(n) (r + 1)^(2) C_(r) , is

Sum of all coefficient of different power of x in the expansion sum_(r=0)^(10)('^10)C_(r)(x-3)^(r)4^(10-r) will be

Coefficient of x^25 in the expansion of the expression sum_(r = 0)^50 ""^50C_r (2x - 3)^r (2-x)^(n-r) is :

If x^(2)+x+1=0 then sum_(r=1)^(25)(x^(r)+(1)/(x^(r)))^(2)=