charliepecchia charliepecchia
  • 21-09-2022
  • Mathematics
contestada

prove that the sum of the squares of two consecutive even numbers is a multiple of 4

Respuesta :

mathstudent55
mathstudent55 mathstudent55
  • 21-09-2022

Answer:

Since the final answer has a factor of 4, it is a multiple of 4.

Step-by-step explanation:

Let the smaller even number be 2n.

The next greater even number is 2n + 2.

(2n)² + (2n + 2)² = 4n² + 4n² + 8n + 4 = 8n² + 8n + 4 = 4(2n² + 2n + 1)

Answer Link

Otras preguntas

john flips 10 coins and lays them out in a straight line. how many possible combinations of heads and tails and possible?
Write atleast five tools and equipment for computer hardware servicing.​
3. A swamp ecosystem in Florida has alligators, turtles, boars, small and large Prish, aquatic birds, algae and patches of grasses. Based on the interactions th
EA19. 5.5 Prepare the journal entry to record the sale of 2,000 units that cost $8 per unit and sold for $15per unit.
an atom is neutral in charge. give reason?​
Calculate the shaded area, give your answer to 2 significant figures.
Which of the following words have the same vowel sound as bark? Choose two answers. A. heart B. born C. lark D. soar E. bore F. your
0 Saved Help Save & Exit Submit The basic idea of a business that explains which customer needs will be met, how the functions and operations will be organi
Pam reads 126 pages of her summer reading book in 3 hours. How many pages will she finish in 5 hours
I have been wanting to write a script for a while now but i dont have a plot, please give me a plot idea most creative gets brainliest