Distribute (u + 1)^50 sqrt(u)?

Question

So how can I distribute the sqrt of (u) to the equation (u + 1)^50?

Answer 1

sqrt(u) = u^(1/2) = u^(50/100) = (u^(1/100))^(50)

(u + 1)^(50) sqrt(u) = (u + 1)^(50) (u^(1/100))^(50)
= ((u + 1)(u^(1/100)))^50
= (u^(101/100) + u^(1/100))^50

Answer 2

One term at a time for 51 terms. If you had sqrt(u+1), it would have made life a little easier.