[" 9.Prove that if "x" and "y" are both odd positive integers then "x^(2)+y^(2)" is even "],[" but not divisible by "4.]

Prove that if x and y are odd positive integers, then x^(2)+y^(2) is even but not divisible by 4.

Prove that if x and y are odd positive integers , then x^2 +y^2 is even but not divisible by 4.

Prove that if x and y are odd positive integers, then x^2+y^2 is even but not divisible by 4.

Prove that if xa n dy are odd positive integers, then x^2+y^2 is even but not divisible by 4.

If x and y are positive integers such that 1994=(x+y)^(2)+3x+y, find y.

If x and y are positive integers and (2x +y) is even, which of the following must be even ?

Prove that x^n-y^n is divisible by x - y for all positive integers n.

Consider the following statements in respect of positive odd integers x and y : 1. x^2 +y^2 is even integer. 2. x^2+y^2 is divisible by 4. Which of the above statements is/are correct ?

If x and y are positive integers such that, xy+x+y=71,x^2 y+xy^2=880 , then x^2+y^2 =