You can put this solution on YOUR website! (x^2+2x)/4x-3/(6x^3)/(8x^2-2x-3)
Factor whereever you can as follows:
(x(x+2))/(4x-3)/6x^3/[(2x+1)(4x-3)]
The (4x+3) factors cancel when you invert the
denominator and multiply leaving:
[(x(x+2))(2x+1)]/[6x^3]
No further simplifying is possible.
Cheers,
Stan H.