Answer:
(x + 7)/(x - 3)
Explanation:
To simplify this expression, we first factor the numerator and denominator, and then cancel any common factors:
x² + 3x - 28 = (x + 7)(x - 4)
x² - 7x + 12 = (x - 3)(x - 4)
So the expression simplifies to:
(x + 7)(x - 4) / (x - 3)(x - 4)The (x - 4)
factor in both the numerator and denominator cancels out, leaving:
x + 7 / x - 3
Therefore, the simplified expression is (x + 7)/(x - 3)