jamilwiam5 jamilwiam5
  • 10-10-2021
  • Mathematics
contestada

Montrer que le carré d un nombre pairest un nombre pair

Respuesta :

rahulpunhuani
rahulpunhuani rahulpunhuani
  • 10-10-2021

Answer:

soit n un nombre entier quelconque; 2n sera pair et 2n+1 sera impair.

1) (2n)² = 4n² = 2 * 2n²

2) (2n+1)² = 4n² + 4n + 1 = 2*(2n² + 2n) + 1

3) 2n + 2m = 2*(n+m)

la somme de 2 nombres pairs est paire

(2n + 1) + (2m + 1) = 2n + 2m + 2 = 2 *(n + m + 1)

la somme de 2 nombres impairs est paire

Step-by-step explanation:

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