msinisi8 msinisi8
  • 04-07-2020
  • Mathematics
contestada

what is the coefficient of x^2 y^3 in the expansion of (2x+y)^5

Respuesta :

a5904640
a5904640 a5904640
  • 04-07-2020

If it's x²y³ then we know it's the second term of the expansion, that known we can use the combination

C(5, 2) = 5!/(2!.3!) = 10

Then if we had something like

(a + b)^5 our second term would be 10a²b³ but as we can see it's "a²"

And in our case we have 2x as a

So we must do 2² too

2² = 4

10 . 4 = 40

Then our second term of the expansion would be

40x²y³

Answer Link

Otras preguntas

What are the functions of receptors in our body? Think of a situation where receptors do not work properly. What problems are likely to arise?
What are the functions of receptors in our body? Think of a situation where receptors do not work properly. What problems are likely to arise?
Why is sodium sulphate hemihydrate called as "Plaster of Paris"?
you have a standard deck of 52 cards. you pick one card and then, with out putting the first card back, you pick a second card. what is the probability that bot
what is a high structure part of a church which has 5 letters
What were the major causes of WWII? Please include at least 4 answers.
What is the least common denominator for 5/6 and 3/8. 3/4 and 6/7
you have a standard deck of 52 cards. you pick one card and then, with out putting the first card back, you pick a second card. what is the probability that bot
How do you?...Multiply out and simplify 10(2x-1)-20x?
What is the least common denominator for 5/6 and 3/8. 3/4 and 6/7