SOLUTION: Simplify. v^2+8v+7/3v^2+18v-21

Algebra ->  Equations -> SOLUTION: Simplify. v^2+8v+7/3v^2+18v-21      Log On


   

Question 333715: Simplify.
v^2+8v+7/3v^2+18v-21
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%28v%5E2%2B8v%2B7%29%2F%283v%5E2%2B18v-21%29 Start with the given expression.


%28%28v%2B7%29%28v%2B1%29%29%2F%283v%5E2%2B18v-21%29 Factor v%5E2%2B8v%2B7 to get %28v%2B7%29%28v%2B1%29.


%28%28v%2B7%29%28v%2B1%29%29%2F%283%28v%2B7%29%28v-1%29%29 Factor 3v%5E2%2B18v-21 to get 3%28v%2B7%29%28v-1%29.


%28highlight%28%28v%2B7%29%29%28v%2B1%29%29%2F%283%2Ahighlight%28%28v%2B7%29%29%28v-1%29%29 Highlight the common terms.


%28cross%28%28v%2B7%29%29%28v%2B1%29%29%2F%283%2Across%28%28v%2B7%29%29%28v-1%29%29 Cancel out the common terms.


%28v%2B1%29%2F%283%28v-1%29%29 Simplify.


%28v%2B1%29%2F%283v-3%29 Distribute.


So %28v%5E2%2B8v%2B7%29%2F%283v%5E2%2B18v-21%29 simplifies to %28v%2B1%29%2F%283v-3%29.


In other words, %28v%5E2%2B8v%2B7%29%2F%283v%5E2%2B18v-21%29=%28v%2B1%29%2F%283v-3%29