The remainder obtained when 23(23)(23)+31(31)(31)is divided by
54
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1
23 x23x23 + 31x31x31 = (23)^3 + (31)^3
Now we know the identity => a^3 + b^3 = (a+b)(a^2+b^2-ab)
So this is devisible by a+b
=> 23^3 + 31^3 is devisible by (23+31) i.e 54
So remainder is 0
Now we know the identity => a^3 + b^3 = (a+b)(a^2+b^2-ab)
So this is devisible by a+b
=> 23^3 + 31^3 is devisible by (23+31) i.e 54
So remainder is 0
Answered by
0
answer is 777
hope it helps u :)
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