2over x squared minus 9 minus 3x over x squared 5x plus 6

Your verbal description of the expression you're dealing with is a bit unclear, but here's what I'm assuming you're given:


To subtract two fractions, you need a common denominator.  To find out what that should be, factor the two denominators.



The least common denominator (LCD) must contain each distinct factor, so the LCD is

Now change the two fractions so they have the LCD.  In this case, that means to multiply top & bottom of the first fraction by the "missing" factor (x + 2) and the second fraction's top & bottom by (x - 3).



Now, distribute the 2 in the first numerator and 3x in the second numerator (careful with that subtraction sign!) and simplify.



Can you finish it?