Question

Prove that n^3+3n^2+5n+3 is divisible by 3

Answer 1

Hello Student,



n^3 + 3n^2 + 5n + 3
=n^3 + 3n^2 + 2n+3n + 3
=n(n^2 + 3n + 2)+3n + 3
=n(n+1)(n+2)+3n+3

Prooved



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