hi
you need to factorise (2x²-9x-18)/x²-6x - (3x²+8x-3)/x²+3x =(2x+3)(x-6)/x(x-6) - (3x-1)(x+3)/x(x+3) =(2x+3)/x - (3x-1)/x =(2x+3-3x+1)/x =4/x - 1