Simplify the following expression completely.

(x^2 - x - 42)/(x^2 + 3x - 70)

Answer should be in binomial factor

1 answer

To simplify the expression completely, first factor the numerator and the denominator:

Numerator: x^2 - x - 42 = (x - 7)(x + 6)
Denominator: x^2 + 3x - 70 = (x - 7)(x + 10)

Now, divide both the numerator and the denominator by the common factor of (x - 7).

(x - 7)(x + 6)/(x - 7)(x + 10)

The (x - 7) terms cancel out, leaving:

(x + 6)/(x + 10)

So the simplified expression is (x + 6)/(x + 10).