In the expansion of `(1+3x+2x^2)^6` , the coefficient of `x^(11)` is a. 144 b. 288 c. 216 d. 576

In the expansion of (1+x+x^(2)+x^(3))^(6) , the coefficient of x^(14) is a)130 b)120 c)128 d)125

The sum of the binomial coefficients in the expansion of (x^2+1/x)^n is 1024. find the coefficient of x^11 in the binomial expansion.

If in the expansion of (1+x)^m(1-x)^n the coefficients of x and x^2 and 3 and -6 respectivly then m is (A) 6 (B) 9 (C) 12 (D) 24

Consider the expansion of (3x^2-1/(3x))^9 find the coefficient of x^6 and the term independent of x.

Coefficient of x^(11) in the expansion of (1+x^2)^4(1+x^3)^7(1+x^4)^(12) is 1051 b. 1106 c. 1113 d. 1120

Coefficient of x^(11) in the expansion of (1+x^2)^4(1+x^3)^7(1+x^4)^(12) is 1051 b. 1106 c. 1113 d. 1120

Coefficient of x^(11) in the expansion of (1+x^2)^4(1+x^3)^7(1+x^4)^(12) is 1051 b. 1106 c. 1113 d. 1120

If the coefficient of x^(7) in the expansion of (ax^(2)+b^(-1)x^(-1))^(11) is equal to the coefficient of x^(-7) in (ax-b^(-1)x^(-2))^(11) , then ab equals:

Find the coefficient of x^(7) in the expansion of (ax^(2) + (1)/(bx))^(11) . (ii) the coefficient of x^(-7) in the expansion of (ax + (1)/(bx^2))^(11) . Also , find the relation between a and b , so that these coefficients are equal .