SOLUTION: • Explain what the student did wrong. • Next, show how to simplify the fraction correctly. Sara simplifies the expression as follows: x^2+6x+9/x+3 (step two of the student

Algebra ->  Inequalities -> SOLUTION: • Explain what the student did wrong. • Next, show how to simplify the fraction correctly. Sara simplifies the expression as follows: x^2+6x+9/x+3 (step two of the student      Log On


   



Question 458221: • Explain what the student did wrong.
• Next, show how to simplify the fraction correctly.
Sara simplifies the expression as follows:
x^2+6x+9/x+3
(step two of the students problem.)
(link is to the image of the problem.)
http://i1139.photobucket.com/albums/n551/Ghost-1332/problem.jpg

Answer by Edwin McCravy(20063) About Me  (Show Source):
You can put this solution on YOUR website!
This is wrong because you can only cancel factors of a numerator
with factors of a denominator.  You may not cancel terms.

  x%3C%3E-3

Here's how to simplify it correctly

%28x%5E2%2B6x%2B9%29%2F%28x%2B3%29  x%3C%3E-3

Factor the numerator:

%28%28x%2B3%29%28x%2B3%29%29%2F%28x%2B3%29  x%3C%3E-3

Now you can cancel the factor %28x%2B3%29

%28cross%28%28x%2B3%29%29%28x%2B3%29%29%2Fcross%28x%2B3%29  x%3C%3E-3

x%2B3  x%3C%3E-3
 
Edwin