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

the roots of the quadratic function describing the relationship between the number of products produced and overall profit margins are x= 0 and 150. the vertex
Example of Exclamation
Particles q1, 92, and q3 are in a straight line. Particles q1 = -5.00 x 10-6 C,q2 = -5.00 x 10-6 C, and q3 = -5.00 x 10-6 C. Particles q₁ and q2 are separated b
David can you 25/6 meters per hour manually, but using a digging machine he can dig 3 times as fast. how many meters would david be able to dig with the machine
Maestro, por favor, _[blank]_ si está bien. ¿Qué opción completa la siguiente (next) oración de Claudia? dígame diganle diganme dime
what is the function of brain​
How many solutions does the system have? y = − 7 x + 8 y = −7x - 8 A one B none C Infinite
Jdnjdbbdidbd 1 + 1/3=
write a review of a book called the elves and the shoe maker by freya littledale​
Please help me answer this question