sferguson sferguson
  • 23-06-2017
  • Mathematics
contestada

Give an algebraic proof that 2n choose 2 = 2 (n choose 2) +n^2

Respuesta :

LammettHash
LammettHash LammettHash
  • 23-06-2017
[tex]\dbinom{2n}2=\dfrac{(2n!)}{2!(2n-2)!}=\dfrac{2n(2n-1)}2=n(2n-1)=2n^2-n[/tex]

[tex]2\dbinom n2+n^2=2\dfrac{n!}{2!(n-2)!}+n^2=n(n-1)+n^2=2n^2-n[/tex]
Answer Link

Otras preguntas

"america and i" explain how the authors diction and syntax in the final paragraph convey her hope for America
una celula tiene mucho color verdoso, posee una forma poliédrica y presenta una pared rígida, ¿Que tipo de celula es?
(1/2)^x=2^-x could anyone tell me why​
Find the number that makes the ratio equivalent to 3:2. :24
When you make a decision to scratch your nose or pick up your pencil from the desk, which part of your nervous system makes that happen? o Autonomic Peripheral
how are frogs created?​
Find the number that makes the ratio equivalent to 1:4.
Analyze the impact of risky behavior teenagers behavior referring to the spheres social emotional physical.
What sound effect does ''the sitting room door was quietly shut, with a click of a key being turned'' have
PLEASE HELP!! WHOEVER HELPS GETS BRAINLIEST!!