Do you have a TI-83 or TI-84 calculator. They are great for checking. Make up an arbitrary number like 5.2369 Type in 5.2369 Press STO ALPHA STO ENTER (That stores 5.2369 as X) Type in the original expression: ((5X²+X-9)/(5X²-12X-9))/((25X²+45X+18)/(5X²+33X+18)) Press ENTER See .7292826861 Type in your answer: ((X-1)(X+6)/((5X+3)(X-3)) Press ENTER See .7292826861 Since we got the same decimal, your answer is correct. The most important use of a TI calculator is to check problems like this. Edwin