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

Harold stores 10,656 pounds of grain 24 cattle each row eats about 12 pounds of rain each day how many days with the food supply last
How did Orion become a constellation?
Who carried out the only successful winter invasions of russian territory in history?
A thesaurus is a dictionary of _____. adjectives foreign terms used in English synonyms
Describe a situation when you might travel at a high velocity but a low acceleration
Which disease makes the air sacs in the lungs less elastic, reducing their ability to absorb oxygen?
why is 296 divided by 6 equals 48 remainder 8
Which fraction expresses -30/54 in lowest terms? A. - 10/27 B. - 10/18 C. - 15/27 D. - 5/9
What is -24 feet per 2 seconds as a unit rate in feet per seconds
explain why any number less than 12.5 and greater than or equal to 11.5 with round 2 12 when rounded to the nearest whole number