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

How did Martin Luther's 95 theses address Church abuses?
Why does Dally sneak in to the movies?
Can someone read my essay and say what I have to improve also tell me what I should put for my conclusion. Thank you! “Love Exists” True
What's the 7th number of pi ???
The inflammatory response is called a general defense because?
If the 1600m race is 4 laps, what is the path length raced?
please help!!! Given the length of three sides of a triangle, which is a right triangle? (1) 10,26,24 (2) 20,12,18 (3) 30,15,26 (4) 40,50,80 And also explain wh
1) What is clergy?2) Why do you think people left land to the church when they died?3) What is a religious order?4) Why do you think monks and friars owned no p
please help!!! Given the length of three sides of a triangle, which is a right triangle? (1) 10,26,24 (2) 20,12,18 (3) 30,15,26 (4) 40,50,80 And also explain wh
As the value of x increases, which of the following functions would eventually exceed to the other three?1) f(x)=1000x2) f(x)=100x²3) f(x)=50x³2) f(x)=2^x