bonjour
J = x² + 4x = xx + 4x facteur commun x
= x(x + 4)
K = 16x² - 12x = 4*4 xx - 3 x 4*x 2 facteurs communs : 4 et x
= 4x(4x - 3)
L = (a - 5)(4a - 3) + (2a - 7)(4a - 3) facteur commun (4a - 3)
= (4a - 3)(a - 5 + 2a - 7)
= (4a - 3)(3a - 12) [3a - 12 = 3a - 3*4 = 3(a - 4) ]
= 3(4a - 3)(a - 4)
M = 3v² + 6v³ + 9v⁴
= 3v² + 3*2 v²v + 3*3v²v²
= 1 * 3v² + 3*2 v²v + 3*3v²v² facteur commun : 3v²
= 3v²(1 + 2v + 3v²)
N = (6y - 1)² + (6y - 1)((2 - 3y)
= (6y - 1)(6y - 1) + (6y - 1)(2 - 3y) facteur commun (6y - 1)
= (6y - 1)(6y - 1 + 2 - 3y)
= (6y - 1)(3y + 1)
P = (3 + 2w) * 1 - (4 - 7w)(3 + 2w)
Q = (3 - 2x)(7 + x) + (6 - 4x)(8 - x)
= (3 - 2x)(7 + x) + 2(3 - 2x)(8 - x)
