Question

If x and y are two odd numbers, then specify (x2+y2). ​

Answer 1

Since, we have to show that x2+y2 is an even integer.

As x2+y2 is of the form 2k, this means that it is divisible by 2 and hence it is even.

So, x2+y2 is not divisible by 4.

Hence, it is proved that if, x and y are odd positive integers, then x2+y2 is even but not divisible by 4.

Answer 2

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As x²+y²is of the form 2k, this means that it is divisible by 2 and hence it is even.

So, x²+y² is not divisible by 4.

Hence, it is proved that if, x and y are odd positive integers, then x²+y² is even but not divisible by 4