x^2 + 2x -15/4x^2 divided by x^2-25/2x-10
answer choices
a) x-3/2x^2
b) x + 3/2x^2
c) 2x^2/x + 3
d) 2x^2/x - 3

any your work is?

any your work is?

(x-3)(x+5)/4x^2 * 2x-1/x^2-25=

To divide the expressions, we need to follow these steps:

Step 1: Factor the numerator and the denominator if possible.
- The numerator of the expression x^2 + 2x -15 can be factored as (x-3)(x+5).
- The denominator of the expression x^2-25 can be factored as (x+5)(x-5).

Step 2: Rewrite the division as a multiplication by flipping the denominator.
- We can rewrite the expression as (x^2 + 2x -15)/(4x^2) * (2x-1)/(x^2-25).

Step 3: Cancel out any common factors between the numerator and the denominator.
- In this case, we have (x+5) as a common factor in both the numerator and the denominator. We can cancel it out.

Step 4: Multiply the remaining factors to simplify the expression.
- After canceling the common factor (x+5), the expression becomes (x-3)/2x^2.

Therefore, the correct answer is a) (x-3/2x^2).