SOLUTION: what is the third term in the binomial expansion of (2/3x + y)exponet 5?

SOLUTION: what is the third term in the binomial expansion of (2/3x + y)exponet 5?

Algebra.Com

Question 668502: what is the third term in the binomial expansion of (2/3x + y)exponet 5?
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
3rd Term:

(n C k)*(A)^(k)*(B)^(n-k)

(5 C 3)*(2/3x)^(3)*(y)^(5-3)

10*(8/27x^3)y^2

(80/27)x^3y^2

So the third term is $\frac{80}{27}x^3y^2$
RELATED QUESTIONS
What is the Fifth Term in the Binomial expansion of (a-b)exponet... (answered by swincher4391)

What is the third term of the binomial expansion of... (answered by Edwin McCravy)

in the binomial expansion of (x+y)^8 what is the coefficient of the term containing x^3... (answered by edjones)

What is the fourth term in the expression of (3x-2)2? <----- ("2" is an... (answered by ewatrrr)

please give me the answers to these..THANKS! (' means exponet after..) Use Pascal's... (answered by stanbon)

How do you write the binomial expansion for question # 1 & 2? 1. (2x+3)3 < - -3rd power (answered by stanbon)

Find the coefficient a of the given term in the expansion of the binomial. Binomial (answered by MathLover1)

Find the fourth term of the binomial expansion...... (answered by Nate)

Find the specified term of each binomial expansion. Third term of (x+13)12<------ (12 (answered by ewatrrr)