olejcuello olejcuello
  • 17-03-2021
  • Mathematics
contestada

Prove that for all integers a and b. If
a^2(b^2 - 2b) is odd, then a and b are odd​

Respuesta :

Аноним Аноним
  • 17-03-2021

Answer:

  • we have:

a²(b² - 2b) = a²b² - 2a²b

  • a²(b² - 2b) is odd but -2a²b is the even number

=> a²b² must be the odd (because an odd number minus an even number equals an odd number)

=> a and b are odd (proven)

Answer Link

Otras preguntas

I just need help with this my textbook is no help
Why did president truman oppose an attack on china?
Why did Mrs. Linde write Krogstad a letter long ago?
Who is the very first president of the United States
if you measure 8/12 of a pizza how many thirds do you have
In Acts 2, Peter related the following vital details about the Lord Jesus Christ in his first sermon: (multiple answers) A. life B. death C. resurrection D. as
Which of the following is an example of a role programmed cell death plays in maintaining homeostasis? 1) preventing crossover during meiosis 2) preventing
To simplify 8.3 − 4 15(6.1 + 12) , which operation must be performed first
How many valence electrons do the alkali earth metals possess?
The chemical energy stored in ATP during photosynthesis is released during the dark phase to _____.