Prove that difference of squares of two distinct odd natural numbers is always a multiple of 8.

The difference of the squares of two consecutive numbers is their sum.

The difference between the squares of two consecutive odd integers is always divisble by

If the difference of the squares of two natural numbers is 19. Find the sum of the square of these numbers? (a) 189 (b) 190 (c) 181 (d) None of these

Consider the following statements : 1. Unit digit in 17^(174) is 9. 2. Difference of the squares of any two odd numbers is always divisible by 8. 3. Adding 1 to the product of two consecutive odd numbers makes it a perfect-square. Which of the above statements are correct?

Sum of two consecutive odd numbers is always divisible by 4.

If n is an odd natural number 3^(2n)+2^(2n) is always divisible by

Prove that the product of two odd natural numbers is odd.