SOLUTION: Simplify completely: x^2+5x+4/x+1

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Question 333843: Simplify completely: x^2+5x+4/x+1

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%28x%5E2%2B5x%2B4%29%2F%28x%2B1%29 Start with the given expression.


%28%28x%2B4%29%28x%2B1%29%29%2F%28x%2B1%29 Factor x%5E2%2B5x%2B4 to get %28x%2B4%29%28x%2B1%29.


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


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


x%2B4 Simplify.


So %28x%5E2%2B5x%2B4%29%2F%28x%2B1%29 simplifies to x%2B4.


In other words, %28x%5E2%2B5x%2B4%29%2F%28x%2B1%29=x%2B4