9ws58gcdcr 9ws58gcdcr
  • 02-01-2024
  • Mathematics
contestada

Prove that (n+5)2-(n+3)2 is a multiple of 4 for all positive integer values of n

Respuesta :

caylus
caylus caylus
  • 02-01-2024

Answer:

Step-by-step explanation:

[tex](n+5)^2-(n+3)^2=(n+5+n+3)(n+5-n-3)=(2n+8)(2)=4(n+4)\\[/tex]

is a multiple of 4.

Answer Link

Otras preguntas

What do you think have been the most negative changes in our law enforcement system throughout U.S. history?
what is the answer for this question and can tell me how to do this problem too. 791 + 11 > 959 − 13
b+8b -5 -2b = 16 what does b equal
Your hair is composed of live cells that need vitamins and nutrients.
What is the y-intercept of the function below? Y=4x+4 (15 Points!)
Solve. 3(5z + 7) = 33
What is change and what dose it do
Since Sally loves bright colors, she decided to paint her room a brilliant orange. What is Since Sally loves bright colors,?
The A private plane and a jetliner both fly over a park that is at (-2, 2) on a map. The path of the jetliner follows the line y = 1/2x+3 private plane flies pe
Analyze the image below and answer the question that follows. A supercontinent called Pangaea. Image by Kieff The above image shows a supercontinent that is par