x²-x-6/x-3

Answer 1

To simplify the expression (x² - x - 6)/(x - 3), we first factor the numerator:

(x² - x - 6) factors to (x - 3)(x + 2)

So the expression becomes:

(x - 3)(x + 2)/(x - 3)

Now, we can cancel out the common factor of (x - 3) in the numerator and denominator to get the simplified expression:

x + 2