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

8x-13>5(x-5) please help me
What word doesn't have a Spanish root? A) Savvy B)Culture C)Speak D)Compare
Alana invests $5,000 in a mutual fund with a net asset value of $3.35 per share. If the loading rate is 3%, how much is the loading charge A. $800 B. $150 C. $
Interpret the map below. Include information such as whom it references, what the arrows mean, and any other information pertaining to languages.
If a force of 10 N applied to an object with a mass of 1 kg, what is the acceleration of the object?​
Which of the following describes the role of cyclic AMP (cAMP) in hormone response? A. cAMP receives messages from mRNA to begin protein synthesis. B.
4. In the chemical equation H202(aq) → H2O(l) + O2(g), the O2 is a O A reactant Bcatalyst C solid OD product
I need help please?!!!
please help asap!!!!!!
​which diagnostic technique is most commonly used to visualize a bone fracture?