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

What did the acquisition of territory in 1803 between the United States and France become known as?
What is 2/3 of a share of $24 390
Generating Equivalent Expression 3x+2y-2x+2=3x-2x+2y+2Please help need to solve it
Which of the following is true of the Supreme Court's decision in Brown v. Board of Education of Topeka? A. It declared that segregated schools were inherently
A prism has a surface area of 75 feet. Which sentence describes the effect of measuring the surface area in square inches. a. surface area decreases. b. the sur
In to kill a mocking bird, how is Dill described
what two european countries were the first to explore
A wave with a frequency of 0.5 Hz and a speed of 10 m\s has a wavelength of..
hairlike parts that spin to push a bacterium through water or other liquids are called _________________.
x to the 2 power = -169 solve for X