[tex]A = 16x-4\\A = 4 \times 4x - 4 \times 1\\A = 4(4x-1)\\\\B = \dfrac{2}{3} x -4x^2+5x\\B = \dfrac{2}{3} \times x - 4x \times x + 5 \times x\\B = x(\dfrac{2}{3} - 4x + 5)\\B = x(\dfrac{2}{3} + \dfrac{15}{3} - 4x)\\B = x( \dfrac{17}{3} - 4x)[/tex]
[tex]C = (3x+1)(2x-7) + (2x+7)(3x+1)\\C = (3x+1) \times (2x-7) + (3x+1) \times (2x+7)\\C = (3x+1)[(2x-7)+(2x+7)]\\C = (3x+1)(2x-7+2x+7)\\C = (3x+1)(4x+0)\\C=4x(3x+1)\\\\D = x^2+12x+36\\D = x^2 + 2 \times 6 \times 6 + 6^2\\D = (x+6)^2[/tex]
[tex]E = 49x^2-81\\E = 7^2x^2 - 9^2\\E = (7x)^2-9^2\\E=(7x-9)(7x+9)\\\\F = 36x^2-1-(2x+7)(6x-1)\\F = (6x)^2-1^2-(2x+7)(6x-1)\\F=(6x+1)(6x-1)-(2x+7)(6x-1)\\F=(6x-1)[(6x+1)-(2x+7)]\\F=(6x-1)(6x+1-2x-7)\\F=(6x-1)(6x-2x+1-7)\\F=(6x-1)(4x+6)[/tex]
Bonne journée !
