Activité 3 – Produit remarquables : exercices de synthèse

f) Ecris sans parenthèses.

(5 x)2 =
52 . x2
(x + 2) . (x – 2) =
x2 – 22
=
25 x2
=
x2 – 4
5 . (x + 2) =
5 . x + 5 . 2
(x + 3) . (x – 2) =
x2 – 2 x + 3 x + 2 . 3
=
5 x + 10
=
x2 + x + 6
(5 + x)2 =
52 + 2 . 5 . x + x2
(x + 3) . (x + 3) =
x2 + 2 . x . 3 + 32
=
25 + 10 x + x2
=
x2 + 6 x + 9
5 – (x – 2) =
5 – x + 2
(x + 3) – (x – 3) =
x + 3 – x + 3
=
7 – x
=
6
(5 – x) . 2 =
10 – 2x
(x – 3) . (3 – x) =
3 x – x2 – 9 + 3 x
=
– x2 + 6 x – 9