Subtract. x2−x+3/x2+2x−8 - x2−3x−5/x2+2x−8

(2x + 8)/(x² + 2x - 8)

Step-by-step explanation:

When fractions have a common denominator, we can add or subtract the numerators.  (Since the 2 fractions share the same denominator, we will ignore it for now...)

Subtracting the two numerators give us...

x² - x + 3 - (x² - 3x - 5)

    x² - x + 3 - x² - (-3x) - (-5)

         x² - x + 3 - x² + 3x + 5

              2x + 8

So the final answer is (2x + 8)/(x² + 2x - 8)

hope this is what you were asking for!

step-by-step explanation: