Simplify the following and state the restrictions.

`(8x-48)/(2x^2 - 15x+18) - (2x^2+x -15)/(3x^3-25x^2 + 28x)-: (4x^2-25)/(3x^2 - 4x)`

`(8(x-6))/((2x - 3)(x-6)) - ((2x-5)(x+3))/(x(3x-4)(x-7))-: ((2x-5)(2x+5))/(x(3x-4))`

`(8(x-6))/((2x - 3)(x-6)) - ((2x-5)(x+3))/(x(3x-4)(x-7))* (x(3x-4))/((2x-5)(2x+5))`

`8/(2x-3) - (x+3)/((x-7)(2x+5))`

`(8(x-7)(2x+5))/((2x-3)(x-7)(2x+5)) - ((x+3)(2x-3))/((2x-3)(x-7)(2x+5))`

` ` `(16x^2-72x-280)/((2x-3)(x-7)(2x+5)) - (2x^2+3x-9)/((2x-3)(x-7)(2x+5))`

`(14x^2 - 75x - 271)/((2x-3)(x-7)(2x+5))` `lArr` **The solution.**

**or**

`(14x^2 - 75x - 271)/(4x^3-14x^2-43x+105)`

``**The restrictions are** `x!= 3/2, 6, 0, 4/3, 7,+- 5/2`