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

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

Find the product: 3/11xx2/5

Expand using Binomial Theorem (x-2y)^(6)

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

Find the products (5-2x)(3+x)

Find the product: 3/7xx((-2)/5)

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) .

The coefficient of x^(5) in (1+x^(2))^(5)(1+x)^(4) is