prove that if x and y are both odd positive integers then x^2+y^2 is even. but not divisible by 4
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let x be 2a+1
y be 2a-1
X2+ y2
4a2 +1 +4a + 4a2 +1 -4a
divide by 4
2a2 +2/4
2 is not divisible... hence proved
plz mark my answer as best answer
y be 2a-1
X2+ y2
4a2 +1 +4a + 4a2 +1 -4a
divide by 4
2a2 +2/4
2 is not divisible... hence proved
plz mark my answer as best answer
tanu151:
y u have taken 2a+1 as x ??
mujhe smjh ni ara can u explain me properly ?
a can be odd or even ... multiple by 2 makes it even ... adding 1 makes it odd ... the standard notation for odd number is 2a+1
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