okay,

i factor out: (6x+1)^2

then i try to simplify

(6x+1)^3 (27x^2+2)

--------------------

(6x+2)^6

--------------------

(6x+2)^2

then,

(6x+1)^3 (27x^2+2) 1

-------------------- * -----------

(6x+2)^6 (6x+1)^2

then,

(27x^2+2)

-----------

(6x+2)^5

but as i keep going i feel that i am solving this problem incorrectly or i have some sort of law or rule mistaken. I do the same for,

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

-------------------------

(6x+2)^6

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

-------------------------

(6x+2)^6

-------------------------

(6x+2)^2

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

------------------------- * -------------

(6x+2)^6 (6x+2)^2

(9x^3+2x)(3)(6)

----------------

(6x+2)^6