It will be 12 days of great fun again. I can't wait to start !
It will be 12 days of great fun again. I can't wait to start !
= (n⁴ + n² – (n – 1)⁴ – (n – 1)²)/2
= ((n² – (n – 1)²)(n² + (n – 1)² + 1)/2
= (2n – 1)(2n² – 2n + 2)/2
= (2n – 1)(n² – n + 1)
= 2n³ – 2n² + 2n – n² + n – 1
= n³ + n³ – 3n² + 3n – 1
= n³ + (n - 1)³
= (n⁴ + n² – (n – 1)⁴ – (n – 1)²)/2
= ((n² – (n – 1)²)(n² + (n – 1)² + 1)/2
= (2n – 1)(2n² – 2n + 2)/2
= (2n – 1)(n² – n + 1)
= 2n³ – 2n² + 2n – n² + n – 1
= n³ + n³ – 3n² + 3n – 1
= n³ + (n - 1)³