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OpenStudy (anonymous):
prove that the square of every odd positive integer leaves remainder 1 when divided by 8
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Parth (parthkohli):
Welcome to OpenStudy! Every odd positive integer can be written in the form \(4q + 1\) or \(4q + 3\). Can you try to consider both cases and square them? You will see that the numbers are of the form \(8m + 1\)
OpenStudy (anonymous):
oh this is exactly what i was looking for thank you!!
Parth (parthkohli):
No problem!
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