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

the president… shall have power, by and the advice and consent (approval) of the senate, to make treaties, provided two thirds
First ,solar energy is converted to thermal energy when
An owner's interest or value in property, over and above the mortgage debt, is known as a. Equity b. Capital c. Profit d. Interest
The income capitalized to determine value is A. annual net income B. annual gross income C. monthly net income D. monthly gross income
HELP PLSSS DUE MONDAY (SCALE FACTOR)
What is one reason president Abraham Lincoln included these statements in this address
I am so sad, what should I do to make me feel Better
what is the inverse of the function below? f(x)=x/3 - 2
Henry makes a $425 payment on his credit card every month. He has an outstanding balance of $8600 with an interest rate of 8%. Without making any more purchase
A user is concerned about losing critical data on single computer in the event of an unforeseen system crash. The user is advised to implement fault tolerance.