laneahrose13
laneahrose13 laneahrose13
  • 29-11-2020
  • Mathematics
contestada

n is an integer. Prove that (2n+1)(n+3)+(2n+1)(n-2) is not a multiple of 2. thanks.

Respuesta :

Аноним Аноним
  • 29-11-2020

Answer:

(2n + 1)(n + 3) + (2n + 1)(n - 2)

= (2n + 1)(n + 3 + n - 2)

= (2n + 1)2n + 1)

= 4n² + 4n + 1

= 2(2n² + 2n) + 1

can see 2(2n² + 2n) is   a multiple of 2 but 1 isnt  a multiple of 2

=>  2(2n² + 2n) + 1  is not a multiple of 2

=> (2n + 1)(n + 3) + (2n + 1)(n - 2) is not a multiple of 2

Step-by-step explanation:

Answer Link

Otras preguntas

Simplify the following expression. (58x + 60y) - (10x + 32y) a.48x + 92y b.48x + 28y c.68x + 28y d.68x + 92y
1. In the lock-and-key model of enzyme action, the ___________ fits into the_________ of the enzyme.
How many times does 12 go into 800
Allen and Rose are discussing saprotrophs. Allen says saprotrophic fungi decompose the remains of animals and plants. Rose says saprotrophic fungi remove excess
Tim counted 24 mole rats in an exhibit at the zoo. Then he realized that he forgot to count x mole rats. A. Write an expression to represent the number of mol
5t(3t+2)(t-8) factorize
Embedded in the cell membrane and helps substances move across the membrane
what division problem equals 18
how might rivers have shaped the settlement of the west
taryn's grandmother took her family out to dinner the receipt shows the total amount spent taryns dinner was 20% of the total bill after tax and tip how much w