Find coefficient of `x^3` in the expansion of `(1+2x)^6 (1-x)^7`

Find the coefficient of x^5 in the expansion of : (1 + 2x)^6 (1- x)^7 using binomial theorem.

Find the coefficient of x^4 in the expansion of (1+x)^n (1-x)^n . Deduce that C_2=C_0C_4-C_1C_3+C_2C_2-C_3C_1+ C_4 C_0 .

Find the coefficient of x^8 in the expansion of (x^2-1/x)^(10)

Find the coefficient of x^5 in the expansion of (x+3)^6 is :

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

Find the coefficient of x^5 in the expansion of : (1 + x)^21+ (1 + x)^22+ .............+ (1 + x)^30 .

Find the coefficient of x^7 in the expansion of (1 - x -x^2 + x^3)^(6)dot

Find the coefficient of x^(7) in the expansion of (1+3x-2x^(3))^(10) .

Find the coefficient of x^4 in the expansion of (1+x+x^2+x^3)^(11)dot

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