nadine77 nadine77
  • 05-07-2022
  • Mathematics
contestada

Given that x is an even number, express, in terms of x, the product of the next two odd numbers.

Respuesta :

mtngkhoi
mtngkhoi mtngkhoi
  • 05-07-2022

Answer:

Odd is the answer.

Step-by-step explanation:

An even number can be written in the form 2x, where x is an integer.

An odd number can be written in the form 2x + 1, where x is an integer.

So two odd numbers can be represented by 2a +1 and 2b +1, the product would be:

(2a + 1)(2b +1) = 4ab + 2a + 2b + 1 = which can be written as 2(2ab + a +b) + 1, but 2ab +a + b represents some integer, so 2ab + a + b = x.

So (2a + 1)(2b + 1) = 2(2ab + a + b ) + 1 = 2x +1 which is odd.

Answer Link

Otras preguntas

are organisms that contain more than one cell with membrane-bound organelles and a nucleus.
Answer For All Please
Discuss the impact of the assassination of Archduke Franz Ferdinand
Which of the following is a responsibility of a United States citizen rather then a duty?
What is always used that find a coordinate
express the area of a rectangle with length 7ab and width 2a as a monomial area = _____
Un arquitecto esta preparando una oferta para construir un edificio de condominios. Los cimientos y el estacionamiento costaran $25 millones. El primer piso cos
Which type of protein penetrates tot he interior of the plasma membrane but does not extend all the way through it
#34. Find the value of x for the rectangle. (How did u do it/what did u do)
Which property makes a compound easier to boil? viscosity volatility density volume