SOLUTION: please help to add (x - 5 / x^2 - 5x - 14) - ( 2x / 7 - x)

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Question 65720This question is from textbook An Incremental Development
: please help to add
(x - 5 / x^2 - 5x - 14) - ( 2x / 7 - x)
This question is from textbook An Incremental Development

Answer by chitra(359) About Me  (Show Source):
You can put this solution on YOUR website!
%28x+-+5%29%2F%28x%5E2+-+5x+-+14%29+-+%28+2x%29%2F%287+-+x%29

The denominator of the first term can be factored and written as: (x+2)(x-7)

%28x+-+5%29%2F%28x+%2B+2%29%28x+-+7%29-+%282x%29%2F%287+-+x%29

This can be written as:


%285+-+x%29%2F%28x+%2B+2%29%287+-+x%29-+%282x%29%2F%287+-+x%29


Taking (7 - x) as LCM, we get:


%28%285+-+x%29+-+2x%28x+%2B+2%29%29%2F%287+-+x%29%28x+%2B+2%29


Simplifying this further, we get:


%285+-+x+-+2x%5E2+-+4x%29%2F%287+-+x%29%28x+%2B+2%29


%285+-+5x+-+2x%5E2%29%2F%287+-+x%29%28x+%2B+2%29


Hence, the solution.