alisayl1909 alisayl1909
  • 09-07-2020
  • Mathematics
contestada

prove that the difference between squares of consecutive even numbers is always a multiple of 4

Respuesta :

snog
snog snog
  • 09-07-2020

Answer:

Let's call the numbers n and n + 2.

(n + 2)² - n²

= n² + 4n + 4 - n²

= 4n - 4

= 4(n - 1)

Answer Link

Otras preguntas

Explain how to find the difference -4/5-3/5
When giving a presentation what is the ultimate final product of your communication process? Being done and be able to leave without feeling embarrassed Your
Suppose a politician is in charge to spending public funds. he can give a contract to a company that is not the best bidder, or allocate more than they deserve.
Which phrase from this excerpt most clearly evokes empathy for Grendel?
How do the shapes of South America and Africa support the theory of plate tectonics? Find another example of land areas that once might have been joined togethe
Which of Earth’s layers is made of melted materials A.The crust B.The inner core C.The lithosphere D.The outer core
An individual or a company may challenge agency action where such action is _____:
Indicate which strategy is likely to lead to optimal muscle glycogen replenishment. meal size
Which organism is the tertiary consumer in this food chain?oak tree → squirrel → owl → eagle?
The French workers have ________ weeks of vacation a year.