Question

If m and n are odd poistive integers the m^2+n^2 is even but not divisible by 4 justify

Answer 1

let m = 1 and n= 3

so that m² + n²

• 1² +3²
• 1+ 9 = 10 ( even)
• and 10 is not divisible by 4

Answer 2

As m and n are odd number

we take m=1 and n=3

we get

1^2+3^2=1+9=10

but 10 is not divisible by 4