SOLUTION: 3k 3k^3 - 7k^2 _________ x ___________ 3k^2 - 7k 3k^3 - 6k

Algebra ->  Exponents-negative-and-fractional -> SOLUTION: 3k 3k^3 - 7k^2 _________ x ___________ 3k^2 - 7k 3k^3 - 6k      Log On


   

Question 153091: 3k 3k^3 - 7k^2
_________ x ___________
3k^2 - 7k 3k^3 - 6k
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%28%283k%29%2F%283k%5E2-7k%29%29%28%283k%5E3-7k%5E2%29%2F%283k%5E3-6k%29%29 Start with the given expression.


%28%283k%29%2F%28k%283k-7%29%29%29%28%283k%5E3-7k%5E2%29%2F%283k%5E3-6k%29%29 Factor 3k%5E2-7k to get k%2A%283k-7%29.


%28%283k%29%2F%28k%283k-7%29%29%29%28%28k%5E2%283k-7%29%29%2F%283k%5E3-6k%29%29 Factor 3k%5E3-7k%5E2 to get k%5E2%283k-7%29.


%28%283k%29%2F%28k%283k-7%29%29%29%28%28k%5E2%283k-7%29%29%2F%283k%28k%5E2-2%29%29%29 Factor 3k%5E3-6k to get 3k%28k%5E2-2%29.


%283k%2Ak%5E2%283k-7%29%29%2F%283k%5E2%283k-7%29%28k%5E2-2%29%29 Combine the fractions.


Highlight the common terms.


Cancel out the common terms.


%28k%29%2F%28k%5E2-2%29 Simplify.


So %28%283k%29%2F%283k%5E2-7k%29%29%28%283k%5E3-7k%5E2%29%2F%283k%5E3-6k%29%29 simplifies to %28k%29%2F%28k%5E2-2%29.


In other words, where k%3C%3E-2, k%3C%3E0, k%3C%3E2, or k%3C%3E7%2F3