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

Which reason is NOT a valid one for using collaboration in the scientific process?
Citizens are fed up with the scandals and bad publicity that their governor brings to their state. What is the best course of action that the citizens could tak
A circle is divided into 6 equal parts. What is the total angle measure of 1 part?
. If 5x2 + 7x = 6, which statement is correct? A) x = 2 or x = 3/5 B) x = –2 or x = 3/5 C) x = 2 or x = – 3/5 D) x = –2 or x = - 3/5
Mr. Mancuso plants tomatoes on 1/3 acre of land, corn on 3/4 acre, and carrots on 1/2 acre. On how many acres of land total did he plant?
K2-4K-21. How do you factor this
There are Chickens and Pigs in a Barnyard. The Farmer counts 54 heads and 144 feet. How many Chickens and Pigs are in the Barnyard?
How do prokaryotes lend stability to an ecosystem?
After a minor car accident, you experience sweaty palms, rapid breathing, and a racing heart. in this situation, _____ is the stressor, and _____ is the stress.
I need help on these two questions