(3x+2)²-12(3x+1)
=9x²+12x+4-36x-12
=9x²-24x-8
=9(x- 4/3)² -24
=9(x -4/3 +6√6)(x-4/3-6√6)
(x²+x+1)/(x³-1)=(x²+x+1)/[(x-1)(x²+x+1)]=1/(x-1)
(3x+2)²-12(3x+1)
=9x²+12x+4-36x-12
=9x²-24x-8
=9(x- 4/3)² -24
=9(x -4/3 +6√6)(x-4/3-6√6)
(x²+x+1)/(x³-1)=(x²+x+1)/[(x-1)(x²+x+1)]=1/(x-1)