Question

Simplify the expression: x^2+3x-28/x^2-7x+12.
Show your work.

Answer 1

To simplify the expression (x^2+3x-28)/(x^2-7x+12), factor the numerator and denominator and cancel out the common factor of (x-4). The simplified expression is (x+7)/(x-3).

Step-by-step explanation:

To simplify the expression x^2+3x-28/x^2-7x+12, we first factor the numerator and denominator.

The numerator can be factored as: (x+7)(x-4).

The denominator can be factored as: (x-4)(x-3).

Now, we can cancel out the common factor of (x-4) from both the numerator and denominator. This gives us the simplified expression of (x+7)/(x-3).

Answer 2

(x+7)/(x-3)

All you have to do is write the equation, factor, and cancel like terms.