Question

For denominators not equal to 0, simplify

Answer 1

@jdoe0001 @SolomonZelman

Answer 2

normally try and factorise to eliminate factors so x^2 -1 = (x+1)(x-1)

Answer 3

12x^2 -6x = 2x(x -3)
interestingly enough, the one below is 3x-3 = 3(x-3)

Answer 4

so at least on the right hand side you are left with 2x/3

Answer 5

As far as I can see there is no simple factors to 2x^2 + x + 1
therefore answer is:
(2x)(x^2 -1)/3(x^2+x+1)
= 3x^3 -2x/3x^2+3x+3