Find the coefficient of `a^4` in the product `(1 + 2a)^5` using binomial theorem.

Find the coefficient of a^(4) in the product (1+2a)^(4)(2-a)^(5) using binomial theorem .

Find the confficient of x^5 in the product (1+2x)^6 (1-x)^7 using binomial theoram.

Find the coefficient of x^5 in (x+3)^8

Find the coefficient of a^5 b^7 in (a-2b)^12 .

Find the coefficient of : x^(4) " in " (2x+5)^(8)

Find the coefficient of : x^(40) " in " (1^(2)+2x)^(20)

Find the expansion of (3x^2 - 2ax + 3a^2)^3 using binomial theorem.

Find the coefficient of alpha^(6) in the product (1+alpha+alpha^(2))(1+alpha+alpha^(2))(1+alpha+alpha^(2)+alpha^(3)) (1+alpha)(1+alpha)(1+alpha) .

Find the coefficient of : y^(5) " in " (3y^(2)+1/(3y))^(10)

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