corvonlandry
corvonlandry corvonlandry
  • 28-05-2020
  • Mathematics
contestada

2. Find the 3rd term of(x + 2)^ 8.
A 448x^5
B 28x^6
C 112x^6
D 4x^6

Respuesta :

jcherry99
jcherry99 jcherry99
  • 28-05-2020

Answer:

C

Step-by-step explanation:

The general formula for the binomial expansion is

(n over k) * (x)^(n - k) * y^k

n = 8

k = 2 which is the third term. That's because k starts at 0.

n over k = n C k = 8 C 2 = 8!/(8-2)! * 2!

2^2 = 4

n over k = 8!/(6!)(2!) = 8*7 / 2 = 28

x^(n - k) = x^(8 - 2) = x ^6

So the result is

x^6 * 28 * 2^2

112 x^6

The answer is C  

Answer Link

Otras preguntas

An organism is a prokaryote whose cell membrane contains fatty acids. Which of the six kingdoms is it in?
!!!!!!!!!!!!!!! U R G E N T !!!!!!!!!!!!!!!!!!!!!1 Dan and Mario went to a sandwich shop to buy sandwiches for their group of friends. Dan bought 2 tuna and 5 v
True or false poor european colonist became slaves in exchange for the cost of their passage to america
The areas in the cerebral cortex that play important roles in registering spatial location, attention, and motor control are known as _____ lobes a. temporal
find (f+g)(x) if f(x)=5x-2 and g(x)=2x+1 A. 7x-1 B. 7x-3 C. 3x-1 D. 4x-3
What are examples of devices that use electromagnetic waves
630 tickets were sold for the fair 70% of the tickets were used. How many were used?
Which part of the Constitution protects interest groups’ rights to assemble and petition the government?
Can anyone help with this?
What are some factors FOR lowering the legal drinking age.And what are some factors AGAINST it