ldepaz408
ldepaz408 ldepaz408
  • 24-07-2019
  • Mathematics
contestada

What is the coefficient of x^4y^4 in the expansion (x+y)^8?

A. 1
B. 40
C. 70
D. It does not exist

Respuesta :

sqdancefan
sqdancefan sqdancefan
  • 24-07-2019

Answer:

  C.  70

Step-by-step explanation:

In the expansion of (a + b)^n, the k-th term is ...

  nCk·a^(n-k)b^k . . . . . k = 0 to n; nCk = n!/(k!(n-k)!)

Here, we have n=8, k=4, so the term of interest is ...

  8C4·x^4y^4 = (8·7·6·5)/(4·3·2·1)x^4y^4 = 70x^4y^4

The coefficient of the term is 70.

Answer Link

Otras preguntas

CAN SOMEONE PLEASE HELP ME WITH THIS DESCRIPTIVE/CREATIVE WRITING HOMEWORK IM CRYING BECAUSE I GOTTA SUBMIT THIS IN AN HOUR :'( Topics: Describe what you see f
Read the excerpt from Between the Silver and the Ash. XAVIER I don’t understand. She wanted to be a farmer. I don’t. I want to go to college. I want to be a doc
Can someone please solve number 9 and ten please
The Constitution of Japan that was created in 1889 enacted which of the following: * A. Supreme power of the shogun B. Creation of the Diet C. Creation of commu
Straight Industries purchased a large piece of equipment from Curvy Company on January 1, 2019. Straight Industries signed a note, agreeing to pay Curvy Company
guys...please...answer​
Please can anyone help me?
2011/1/14 Paid wages 50,000journal entry ​
if x + 12 = 25. What is the value of 8x - 30?
Federalist wanted to avoid problems like....