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

Overall, the US economy prior to the 1980 presidential election can best be described as
_____ is considered to be the father of the Hebrew people.
Cesar Chavez’s background included which of the following? His parents were business owners. He was once a college student. He was once a community organizer. H
Emancipation Proclamation did nothing to actually free slaves. True False
Factor completely x2 − 10x + 25.
plants can also be called ________ or _______.
Mirta (pasear) _______________ por el parque con su hermana.
What method do most advertisers use in ads to persuade consumers to purchase their products?
Which of these features is part of Athenian government? Check all that apply. The government is a direct democracy. The military is an important part of governm
Find the 2nd term of an arithmetic sequence if t1 = 0 and t5 = 16? 8 6 4 2