Bonjour ! au secours ! Factoriser les expressions suivantes:
a. (x-1)^2 -1
b. 4x^2 -2x
c. (x+1) (2-x) -x-1
d. 4x^2 -9
a. (x-1)^2 -1
b. 4x^2 -2x
c. (x+1) (2-x) -x-1
d. 4x^2 -9
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identité remarquable a² -b²
(x-1)² - 1²
=(x-1 -1)][(x-1+1)]
=(x-2)(x)
=x(x-2)
b.
4x^2 -2x
=2x(2x -1)
c. (x+1) (2-x) -x-1
= (x+1) (2-x) -(x+1)
on met (x+1) en facteur
=(x+1)(2-x-1)
=(x+1)(1-x)
d.
4x^2 -9
identité remarquable a² -b²
=(2x)² - 3²
=(2x-3)(2x+3)