(2x^2+4x-6)/(3x^2+9x-15) ÷ (x^2-9x+8)/(x^2-7x-8) =
2(x-1)(x+3) (x-8)(x+1)
----------------------------------
3(x²+3x-5)( x-8)(x-1)
cancel terms
2(x+3)(x+1)
----------------- =
3(x²+3x-5)
2(x-1)(x+3) (x-8)(x+1)
----------------------------------
3(x²+3x-5)( x-8)(x-1)
cancel terms
2(x+3)(x+1)
----------------- =
3(x²+3x-5)