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

for a it would be 24 children.

for b i don't understand the question. is it saying for each individual person they pick 5 reds to 7 greens or is it the whole group. clarify and i hope this can you.

step-by-step explanation:

1^3 + 2^3 + 3^3 +4^3 = (1+2+3+4)^2

step-by-step explanation:

i am only able to answer the first part. i am not sure about the second part. sorry