If `n` is odd number and `n gt 1` then prove that `(n, (n^2-1)/2, (n^2+1)/2)` is a Pythagorean triplet. Write two Pythagorean triplet taking suitable value of `n`

If n is odd number and n>1 then prove that (n,(n^(2)-1)/(2),(n^(2)+1)/(2)) is a Pythagorean triplet.Write two Pythagorean triplet taking suitable value of n

If a and b are natural numbers and a gt b, then show that (a^(2)+b^(2)),(a^(2)-b^(2))_,(2ab) is a Pythagorean triplet. Find two Pythagorean triplets using any convenient values of a and b.

If a and b are natural numbers and a gt b, then show that (a^(2) + b^(2)), (a^(2) - b^(2)),(2ab) is a pythagorean triplet. Find two Pythagorean triplets using any convenient values of a and b.

If a and b are natural numbers and a > b, then show that (a^(2) + b^(2)), (a^(2) - b^(2)),(2ab) is a pythagorean triplet. Find two Pythagorean triplets using any convenient values of a and b.

Write two Pythagorean triplets each having one of the numbers as 5.

Prove that ((n+1)/(2))^(n) gt (n!)

Prove that n! (n+2) = n! +(n+1)! .

Prove that n! (n+2) = n! +(n+1)! .

If m and n are two distinct numbers such that m >n, then prove that m^2-n^2 ,2mn and m^2+n^2 is a Pythagorean triplet.

If n is an odd number greater than 1, then n(n^(2)-1) is