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= (k+1)².(k+1)
= (k²+2.k.1+1²).(k+1)
= (k²+2k+1).(k+1)
= k².k+2k.k+1.k+k².1+2k.1+1.1
= k^3 + 2k² + k + k² + 2k + 1
= k^3 + 3k² + 3k + 1