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Talja [164]
3 years ago
11

F n and m are integers and n2 m2 is even, which of the following is impossible?

Mathematics
1 answer:
iren2701 [21]3 years ago
6 0
So, I think that you mean that

n²+m² is even? (the "plus" sign is missing, but I think this is correct).

this can only happen if either:

both n and m are even
or
both n and m are odd


That's because a sum of two expressions is even if either both or none of the expressions summed is even, and a power of a number is even only if the number is even too.

are those some of the options?

yes!
<span>n and m are even,- possible!
 n and m are odd, -possible!
n+m is even, - possible; it would be the case i</span><span>f either both n and m are even or both n and m are odd n+m is odd,

so the option we'll choose is:

none of these are impossible </span><span />



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