Use the binomial theorem to expand the expression :
(3x + y)^5 and simplify.
(b) find the middle term in the expansion of
(1/x+√x)^4 and simplify your unswer.
(c) determine the coefficient of x^11 in the expansion of (x^2 +1/x)^10, simplify your answer.

a) .

b) The middle term in the expansion is .

c) The coefficient of is 120.

Step-by-step explanation:

Remember that the binomial theorem say that

a)

Expanding we have that

symplifying,

.

b) The middle term in the expansion of correspond to k=2. Then .

c)

Since we need that 11=20-3k, then k=3.

Then the coefficient of is