show that square of an odd integer is of the form 4 Q + 1 for the same integer q
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using EDL
a=bq+r
b=4
so as we know 0<r<b
r=0,1,2,3.
so odd integers are r=1 and 3 only
a=4q+1
squaring both sides
a²=(4q+1)²
=16q²+8q+1
=4(4q²+2q)+1
=so 4 Q+1 (where Q=4q²+2q)
hence proved
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a=bq+r
b=4
so as we know 0<r<b
r=0,1,2,3.
so odd integers are r=1 and 3 only
a=4q+1
squaring both sides
a²=(4q+1)²
=16q²+8q+1
=4(4q²+2q)+1
=so 4 Q+1 (where Q=4q²+2q)
hence proved
I hope this will help you mark me brainliest
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