Activité 3 – Produit remarquables : exercices de synthèse

c) Applique les produits remarquables pour calculer.

 

1052
= (100 + 5)2
= 1002 + 2 . 100 . 5 + 52
= 10000 + 1000 + 25
= 11025
412
= (40 + 1)2
= 402 + 2 . 40 . 1 + 12
= 1600 + 80 + 1
= 1681
692
= (70 – 1)2
= 702 – 2 . 70 . 1 + 12
= 4900 – 140 + 1
= 4761
39 . 41
= (40 – 1) . (40 + 1)
= 402 – 12
= 1600 – 1
= 1599
98 . 102
= (100 – 2) . (100 + 2)
= 1002 – 22
= 10000 – 4
= 9996
45 . 55
= (50 – 5) . (50 + 5)
= 502 – 52
= 2500 – 25
= 2475
57 . 63
= (60 – 3) . (60 + 3)
= 602 – 32
= 3600 – 9
= 3591