Bonsoir,
(x-3) (x-1) + (x-3) (x-5) = (x-3) (x - 1 + x - 5) = (x-3) (2x -6) = 2 (x-3) (x-3)
= 2 (x-3)²
Factoriser:
A = (x - 3)(x - 1) + (x - 3)(x - 5)
>> x - 3 est notre facteur commun
A = (x - 3)(x - 1 + (x - 5))
A = (x - 3)(x - 1 + x - 5)
A = (x - 3)(2x - 6)
A = 2(x - 3)(x - 3)
A = 2(x - 3)²
Facteur commun:
ka + kb = k(a + b)
Bonne soirée.
