SOLUTION: I have a problem 4a^2+18a+8/a+4 could you please work this out and show me step by step how you did this Thanks

Algebra ->  Expressions-with-variables -> SOLUTION: I have a problem 4a^2+18a+8/a+4 could you please work this out and show me step by step how you did this Thanks      Log On


   

Question 156931: I have a problem 4a^2+18a+8/a+4 could you please work this out and show me
step by step how you did this Thanks
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%284a%5E2%2B18a%2B8%29%2F%28a%2B4%29 Start with the given expression.


%282%28a%2B4%29%282a%2B1%29%29%2F%28a%2B4%29 Factor 4a%5E2%2B18a%2B8 to get 2%28a%2B4%29%282a%2B1%29.


%282highlight%28%28a%2B4%29%29%282a%2B1%29%29%2F%28highlight%28%28a%2B4%29%29%29 Highlight the common terms.


%282cross%28%28a%2B4%29%29%282a%2B1%29%29%2F%28cross%28%28a%2B4%29%29%29 Cancel out the common terms.


%282%282a%2B1%29%29%2F%281%29 Simplify.


2%282a%2B1%29 Reduce


4a%2B2 Distribute


So %284a%5E2%2B18a%2B8%29%2F%28a%2B4%29 simplifies to 4a%2B2.


In other words, %284a%5E2%2B18a%2B8%29%2F%28a%2B4%29=4a%2B2 where a%3C%3E-4.