Bonjour
Calculons AC²
AC² = ((n²+1) + 2)² = (n²+1)² + 2(2(n²+1)) + 2²
= n^4 + 2n² + 1 + 2(2n² + 2) + 4
= n^4 + 2n² + 1 + 4n² + 4 + 4
= n^4 + 6n² + 9
Calculons AB² + BC² = ((n²-1)² + 2)² + n²
= (n²-1)² - 2(2(n²-1)) + 2² + n²
= n^4 - 2n² + 1 - 2(2n² - 2) + 4 + n²
= n^4 - 2n² + 1 - 4n²+ 4 + 4 + n²
= n^4 - 5n² + 9
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Bonjour
Calculons AC²
AC² = ((n²+1) + 2)² = (n²+1)² + 2(2(n²+1)) + 2²
= n^4 + 2n² + 1 + 2(2n² + 2) + 4
= n^4 + 2n² + 1 + 4n² + 4 + 4
= n^4 + 6n² + 9
Calculons AB² + BC² = ((n²-1)² + 2)² + n²
= (n²-1)² - 2(2(n²-1)) + 2² + n²
= n^4 - 2n² + 1 - 2(2n² - 2) + 4 + n²
= n^4 - 2n² + 1 - 4n²+ 4 + 4 + n²
= n^4 - 5n² + 9