Sagot :
Bonsoir,
[tex]A = (x-6)(6x+1)\\A = 6x^{2} + x - 36x - 6\\A = 6x^{2} - 35x - 6[/tex]
[tex]B = (3x-7)^{2}\\B = 9x^{2} - 42x + 49[/tex] (Identité remarquable (a - b)² = a² - 2ab + b²)
[tex]C = (x + 10)^{2}\\C = x^{2} + 20x + 100[/tex] (Identité remarquable (a + b)² = a² + 2ab + b²)
[tex]D = (6x - 9)(6x + 9)\\D = 36x^{2} - 9²\\D = 36x^{2} - 81[/tex] (Identité remarquable (a + b)(a - b) = a² - b²)
[tex]E = (\frac{7}{9}x - \frac{5}{3})(\frac{5}{3}x + \frac{7}{9})\\E = \frac{35}{27}x^{2} + \frac{49}{81}x - \frac{25}{9}x - \frac{35}{27}\\E = \frac{35}{27}x^{2} + \frac{49}{81}x - \frac{225}{81}x - \frac{35}{27}\\E = \frac{35}{27}x^{2} - \frac{176}{81}x - \frac{35}{27}\\[/tex]
[tex]F = - (3x + 7)(3x - 7)\\F = - (9x^{2} - 49)\\F = -9x^{2} + 49[/tex] (Identité remarquable (a + b)(a - b) = a² - b²)