Answer:
c
Step-by-step explanation:
We need to divide [tex]9x^2-6x+2[/tex] by 3x -1
we know that 2 = 1+1 so
[tex](9x^2-6x+1)+1[/tex]
if you notice the thing that it's inside the parenthesis it's a perfect square
[tex]((3x)^2-2(3x)+1)+1\\=(3x-1)^2+1\\[/tex]
if we divide this by 3x -1 we get
[tex]\frac{(3x-1)^2+1}{3x-1} \\\\=\frac{(3x-1)^2}{3x-1}+\frac{1}{3x-1} \\\\=3x-1 + \frac{1}{3x-1}[/tex]
so answe is c
