Question

prove if x and y are two odd positive integer then x²+y² is even but not devisible by 4

plzz hlp me...​

Answer 1

Answer:

Step-by-step explanation:

Answer 2

Answer:

let x=2m+1

y=2n+1

x²+y²=(2m+1)²+(2n+1)²

⇒4m²+1+4m+4n²+1+4n

⇒all terms are even so it is even

taking 4 common

4(m²+m+n²+n)+2

here while dividing by 4 we get 2 as remainder hence not divisible

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