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 subject pronoun would you use when talking to your parents
A(n) _____ is the organisms and nonliving factors in a certain area. habitat ecosystem population community
1. Which of the following is NOT a true statement about disciplinary sanctions and transcripts? Suspensions and expulsions are the only disciplinary sanctions t
Ax/b+Cx/d=e solve for x
Which excerpt from “The Gift of the Magi” presents the reader with the initial conflict of the story? There was clearly nothing to do but flop down on the shab
Andy ate 31% of a pizza. Drew ate 25.7% of the pizza. How much pizza is left?
the internet has become a major means by which many millions of people connect to others. as we find ourselves more and more connected by social networking, wha
how many ways can 4 people arrive at a party?
The function c=2.50(n-2)+1.50 represents the cost c in dollars of printing n invitations. Which of the following is not true?
what is the molar mass of this hydrate?