(4x^2 - 9)/(2x^2 - 3x)

Sure, I can help with that. The expression you've given is a rational expression, which is a fraction in which the numerator and the denominator are both polynomials. Here's how you can simplify it:

First, factor both the numerator and the denominator.

The numerator, 4x^2 - 9, is a difference of squares, which can be factored into (2x - 3)(2x + 3).

The denominator, 2x^2 - 3x, can be factored by factoring out the greatest common factor, which is x. This gives us x(2x - 3).

So the original expression, (4x^2 - 9)/(2x^2 - 3x), can be rewritten as (2x - 3)(2x + 3) / x(2x - 3).

Now, you can see that the term (2x - 3) is in both the numerator and the denominator, so it can be cancelled out.

This leaves us with (2x + 3) / x as the simplified form of the expression.