Activité 2 – Produit de deux binômes conjugués

d) Calcule les produits suivants en utilisant la formule des binomes conjugués.

 

103 . 97

= (100 + 3) . (100 – 3)
= 1002 – 32
= 10000 – 9
= 9991
84 . 76
= (80 + 4) . (80 – 4)
= 802 – 42
= 6400 – 16
= 6384
96 . 104
= (100 – 4) . (100 + 4)
= 1002 – 42
= 10000 – 16
= 9984
47 . 53
= (50 – 3) . (50 + 3)
= 502 – 32
= 2500 – 9
= 2491
61 . 59
= (60 + 1) . (60 – 1)
= 602 – 12
=3600 – 1
= 3599
204 . 196
= (200 + 4) . (200 – 4)
= 2002 – 42
= 40000 – 16
= 39984
72 . 68
= (70 + 2) . (70 – 2)
= 702 – 22
= 4900 – 4
= 4896
99 . 101
= (100 – 1) . (100 + 1)
= 1002 – 12
= 10000 – 1
= 9999