Question

use division algorithm to show that the square of any positive integer is of the form 3por 3p+1.
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Answer 1

Step-by-step explanation:

a= 3m

a^2=(3m)^2

a^2=9m^2

a^2=3(3m^2)

a^2=3p

[3m^2=p]

a=3m+1

a^2=(3m+1)^2

a^2=9m^2+6m+1

a^2=3(3m^2+2m)+1

a^2=3p+1

[3m^2+2m=p]