SOLUTION: I need to remove the facto 1 7n^2+7n _________ 42n^2+49n I got (n+1)(6n+7) not sure if I am right

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Question 207344: I need to remove the facto 1
7n^2+7n
_________
42n^2+49n
I got (n+1)(6n+7)
not sure if I am right
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%287n%5E2%2B7n%29%2F%2842n%5E2%2B49n%29 Start with the given expression.


%287n%28n%2B1%29%29%2F%2842n%5E2%2B49n%29 Factor 7n%5E2%2B7n to get 7n%28n%2B1%29.


%287n%28n%2B1%29%29%2F%287n%286n%2B7%29%29 Factor 42n%5E2%2B49n to get 7n%286n%2B7%29.


%28highlight%287n%29%28n%2B1%29%29%2F%28highlight%287n%29%286n%2B7%29%29 Highlight the common terms.


%28cross%287n%29%28n%2B1%29%29%2F%28cross%287n%29%286n%2B7%29%29 Cancel out the common terms.


%28n%2B1%29%2F%286n%2B7%29 Simplify.


So %287n%5E2%2B7n%29%2F%2842n%5E2%2B49n%29 simplifies to %28n%2B1%29%2F%286n%2B7%29.


In other words, %287n%5E2%2B7n%29%2F%2842n%5E2%2B49n%29=%28n%2B1%29%2F%286n%2B7%29