SOLUTION: Simplifying Rational Expressions 6x+18 diveded by x2+3x

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Question 152368This question is from textbook Beginning and Intermegiate Algebra
: Simplifying Rational Expressions
6x+18 diveded by x2+3x This question is from textbook Beginning and Intermegiate Algebra

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

%286x%2B18%29%2F%28x%5E2%2B3x%29 Start with the given expression.


%286%28x%2B3%29%29%2F%28x%5E2%2B3x%29 Factor 6x%2B18 to get 6%28x%2B3%29.


%286%28x%2B3%29%29%2F%28x%2A%28x%2B3%29%29 Factor x%5E2%2B3x to get x%2A%28x%2B3%29.


%286highlight%28%28x%2B3%29%29%29%2F%28x%2Ahighlight%28%28x%2B3%29%29%29 Highlight the common terms.


%286cross%28%28x%2B3%29%29%29%2F%28x%2Across%28%28x%2B3%29%29%29 Cancel out the common terms.


%286%29%2F%28x%29 Simplify.


So %286x%2B18%29%2F%28x%5E2%2B3x%29 simplifies to %286%29%2F%28x%29.


In other words, %286x%2B18%29%2F%28x%5E2%2B3x%29=%286%29%2F%28x%29 where x%3C%3E-3 or x%3C%3E0