Question

If m and n are odd positive integers, then m2 + n2 is even, but not divisible by 4. Justify. (3 marks)​

Answer 1

Answer:

let m = 2 x + 1  and  n = 2 y + 1    where x and y are non-negative integers.

m² + n² = (2x+1)² + (2y+1)²

          = 4 x² + 4x + 1 + 4 y² + 4y + 1

          = 4 (x² + y² + x + y ) + 2

So when m² + n² is divided by 4, then we get a reminder of 2 and

                                                          a quotient of (x² + y² + x + y ).

 

So m² + n² is divisible by 4

Step-by-step explanation:

Answer 2

Step-by-step explanation:

hence it solved

hope it will help u