Question

Formulate a step-by-step explanation (in words) on how to simplify (x^2+2x-8)/(x^2+7x+12). Be sure to write a sentence for each step (use correct mathematical language). Which step did you find most difficult to explain and why?

Answer 1

see attached

Explanation:

kindly go through the work i have done. ask for any clarification

Answer 2

(x - 2) / (x + 3)

Explanation:

We proceed to factor both polynomials:

x^2+2x-8 = (x + 4) * (x - 2) in numerator

x^2+7x+12 = (x + 4) * (x + 3) in denominator

therefore, there is a common factor (x + 4) which can be cancelled in the original rational expression, resulting in the following rational expression:

(x^2+2x-8)/(x^2+7x+12) = (x - 2) / (x + 3)

All steps where pretty simple.