Respuesta :

TheAnimeGirl

[tex]answer = (3x + 1)\\ solution \\ {9x}^{2} + 6x + 1 \\ = {9x}^{2} + (3 + 3)x + 1 \\ = {9x}^{2} + 3x + 3x + 1 \\ = 3x(3x + 1) + 1(3x + 1) \\ = (3x + 1)(3x + 1) \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment[/tex]

Here,
9x^2+6x+1
9x^2+(3+3)x+1
9x^2+3x+3x+1
3x(3x+1)+1(3x+1)
(3x+1)(3x+1)
(3x+1)^2