Which expression is equal (in picture)

The expression equal to the problem given is the last answer 3(x-2)(x+5)/2x(x-5).

Step-by-step explanation:

In order to solve the problem, you first need to factor your quadratic equations in order to simply the expression.  Starting with 3x^2 +12x-15, we can factor that into 3(x+5)(x-1).  4x^2 +4x - 8 would factor to 4(x+2)(x-1).  Between these simplified expressions, we can cancel out (x-1) from the numerator and denominator.  For the next fraction, we can factor 2x^2 - 8 into 2(x-2)(x+2) and factor x^2 - 5x into x(x-5).  When we see the factored fraction expressions side by side, we can then cross-simplify the 2 and 4 as well as the (x+2) from the denominator of the first fraction and the numerator of the other.  This leaves us with a final combined expression of 3(x-2)(x+5)/2x(x-5).