x^n এর সহগ নির্ণয় বিষয়ক
The coefficient of xmx^mxm in the expansion of (1+)m+n(1+)^{m+n}(1+)m+n is -
m!n!(m+n)!\frac { m!n! }{ (m+n)! } (m+n)!m!n!
(m+n)!(m+n)!(m+n)!
(m+n)!m!n!\frac { (m+n)! }{ m!n! } m!n!(m+n)!
none of these
The coefficient of x2x^2x2 in expansion of the product(2-x2x^2x2).((1+2x+3x2)6(1 + 2x + 3x^2)^6(1+2x+3x2)6 + (1−14x2)6(1-1 4x^2)^6(1−14x2)6) is :
The sum of the coefficients in the expansion of (1+5x−7x3)3165{\left( {1 + 5x - 7{x^3}} \right)^{3165}}(1+5x−7x3)3165 is
The sum of coefficients of integral powers of xxx in the binomial expansion of (1+2x)40{\left(1+2\sqrt{x}\right)}^{40}(1+2x)40 is
Coefficient of x15x^ {15}x15 in (1+x+x3+x4)(1+x+x^ {3}+x^ {4})(1+x+x3+x4)^ {n} is