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

Write the verbal phrase as an algebraic expression/equation: a number m cubed
Pain that is felt in regions other than the one where the source of the pain lies is​ called
The first side of a triangle is twice the length of the second side; the third side is 20 feet less than three times the second side. The perimeter of the trian
How is the prime minister chosen
If you wanted to show the 3-dimensional shape of a protein, including all of the atoms composing it, you should use a. 2. if you wanted to show the general shap
During an experiment, if you purposely change the temperature to test a hypothesis, the temperature is called the _____ variable. A. manipulated B. responding C
Carolina has a high school diploma, enjoys working on a computer, is focused and stays on task, and has excellent typing skills. She is self motivated and able
Figure TQRS ~ BCDE. What are the pairs of congruent angles?
The distance from your home to the airport is 0.0000075 Gm. How far is this in km?
how do you solve x+3/5-3x/10=7