Answer: x-1
Step-by-step explanation:
Before multiplying, you want to make sure to factor the polynomials to make multiplying as easy as possible.
[tex]\frac{(x-1)(x+1)}{2x-3} *\frac{(x+2)(2x-3)}{(x+2)(x+1)}[/tex]
Now that the polynomials are factored, cross cancel the same factors. Notice that only (x-1) is left over. Therefore, the answer is x-1.
