SOLUTION: Perform and simplify 2/x+5 + 6/x-5

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Question 187075: Perform and simplify
2/x+5 + 6/x-5
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
2%2F%28x%2B5%29%2B6%2F%28x-5%29 Start with the given expression.


Take note that the LCD is %28x%2B5%29%28x-5%29


%282%28x-5%29%29%2F%28%28x%2B5%29%28x-5%29%29%2B6%2F%28x-5%29 Multiply the first fraction by %28x-5%29%2F%28x-5%29


%282x-10%29%2F%28%28x%2B5%29%28x-5%29%29%2B6%2F%28x-5%29 Distribute


%282x-10%29%2F%28%28x%2B5%29%28x-5%29%29%2B%286%28x%2B5%29%29%2F%28%28x%2B5%29%28x-5%29%29 Multiply the second fraction by %28x%2B5%29%2F%28x%2B5%29



%282x-10%29%2F%28%28x%2B5%29%28x-5%29%29%2B%286x%2B30%29%2F%28%28x%2B5%29%28x-5%29%29 Distribute


%282x-10%2B6x%2B30%29%2F%28%28x%2B5%29%28x-5%29%29 Combine the fractions.


%288x%2B20%29%2F%28%28x%2B5%29%28x-5%29%29 Combine like terms.


So 2%2F%28x%2B5%29%2B6%2F%28x-5%29=%288x%2B20%29%2F%28%28x%2B5%29%28x-5%29%29 where x%3C%3E-5 or x%3C%3E5