9x2 + 12x + 4 = 9x2 + 6x + 6x + 4 = 3x(3x + 2) + 2(3x + 2) = (3x + 2)(3x + 2) = (3x + 2)2
2(3x^2 + 6x + 2)
(3x+1)(x+2)
If that's -9x^3 - 3x^2 + 3x + 1, that factors to (1 - 3x^2)(1 + 3x)
9x2 + 6x + 1 = 9x2 + 3x + 3x + 1 = 3x(3x + 1) + 1(3x + 1) = (3x + 1)(3x + 1) or (3x +1)2
8x6 + 24x5 + 16x4 = 8x4 ( x2 + 3x + 2) = 8x4 (x + 2) ( x + 1)
9x2 + 12x + 4 = 9x2 + 6x + 6x + 4 = 3x(3x + 2) + 2(3x + 2) = (3x + 2)(3x + 2) = (3x + 2)2
(3x + 5)(3x^2 + 4)
(x + 1)(3x + 10)
(3x + 2)(x + 5)
(3x - y+ 2)(3x + y + 2)
(3x - 2)(x + 8)
2(3x^2 + 6x + 2)
(x + 2)(3x - 1)(3x + 1)
(3x+1)(x+2)
(x + 2)(x + 1)
3x^2 + 4x, among many others.