SOLUTION: 5z squared plus 5z plus 5 divided by 7z squared plus 7z plus 7. My name is Rachel and I am currently taking geometry.My teacher gave this problem to students before hoping they w

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: 5z squared plus 5z plus 5 divided by 7z squared plus 7z plus 7. My name is Rachel and I am currently taking geometry.My teacher gave this problem to students before hoping they w      Log On


   

Question 171831: 5z squared plus 5z plus 5 divided by 7z squared plus 7z plus 7. My name is Rachel and I am currently taking geometry.My teacher gave this problem to students before hoping they would solve it. I have tried about 8 different methods and cant seem to get the answer which is supposed to be 5 over 7.....My teacher told us to look it up online so that he can prove the importance of showing work with the proper step. I would really appreciate any help you can give.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%285z%5E2%2B5z%2B5%29%2F%287z%5E2%2B7z%2B7%29 Start with the given expression


%285%28z%5E2%2Bz%2B1%29%29%2F%287z%5E2%2B7z%2B7%29 Factor out the GCF 5 from the numerator to get 5%28z%5E2%2Bz%2B1%29


%285%28z%5E2%2Bz%2B1%29%29%2F%287%28z%5E2%2Bz%2B1%29%29 Factor out the GCF 7 from the denominator to get 7%28z%5E2%2Bz%2B1%29


%285%2Ahighlight%28%28z%5E2%2Bz%2B1%29%29%29%2F%287%2Ahighlight%28%28z%5E2%2Bz%2B1%29%29%29 Highlight the common terms


%285%2Across%28%28z%5E2%2Bz%2B1%29%29%29%2F%287%2Across%28%28z%5E2%2Bz%2B1%29%29%29 Cancel out the common terms


5%2F7 Simplify


So %285z%5E2%2B5z%2B5%29%2F%287z%5E2%2B7z%2B7%29 simplifies to 5%2F7