39.3k views
4 votes
Simplify the expression: x^2+3x-28/x^2-7x+12.
Show your work.

2 Answers

6 votes

Final answer:

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).

User Kevin Old
by
8.3k points
5 votes

(x+7)/(x-3)

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

User Thothal
by
7.7k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.