Bonjour,
Factoriser :
[tex] = (8x - 4)(2x - 4) + 4x {}^{2} - 16[/tex]
[tex] = 4(2x - 1)(2x - 4) + 4x {}^{2} - 16[/tex]
[tex] = 4(2x - 1)(2x - 4) + 4(x {}^{2} - 4)[/tex]
[tex] = 4((2x - 1) \times (2x - 4) + x {}^{2} - 4)[/tex]
[tex] = 4(4x {}^{2} - 8x - 2x + 4 + x {}^{2} - 4)[/tex]
[tex] = 4(5x {}^{2} - 8x - 2x)[/tex]
[tex] = 4(5x {}^{2} - 10x)[/tex]
[tex] = 4 \times 5x(x - 2)[/tex]
[tex]\boxed{ = 20x(x - 2)}[/tex]
Bonne journée.
