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)