SOLUTION: X2+x+3 4X +3 ______ + ______ X+2 x+2

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Question 150926: X2+x+3 4X +3
______ + ______
X+2 x+2
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%28x%5E2%2Bx%2B3%29%2F%28x%2B2%29%2B%284x%2B3%29%2F%28x%2B2%29 Start with the given expression.


%28x%5E2%2Bx%2B3%2B4x%2B3%29%2F%28x%2B2%29 Combine the fractions.


%28x%5E2%2B5x%2B6%29%2F%28x%2B2%29 Combine like terms.


%28%28x%2B3%29%28x%2B2%29%29%2F%28x%2B2%29 Factor x%5E2%2B5x%2B6 to get %28x%2B3%29%28x%2B2%29.


%28%28x%2B3%29highlight%28%28x%2B2%29%29%29%2F%28highlight%28%28x%2B2%29%29%29 Highlight the common terms.


%28%28x%2B3%29cross%28%28x%2B2%29%29%29%2F%28cross%28%28x%2B2%29%29%29 Cancel out the common terms.


x%2B3 Simplify.


So %28x%5E2%2Bx%2B3%29%2F%28x%2B2%29%2B%284x%2B3%29%2F%28x%2B2%29 simplifies to x%2B3.


In other words, %28x%5E2%2Bx%2B3%29%2F%28x%2B2%29%2B%284x%2B3%29%2F%28x%2B2%29=x%2B3 where x%3C%3E-2