SOLUTION: Here is another one! 12/x+h+15 - 12/x+15 divided by h

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Question 243609: Here is another one!
12/x+h+15 - 12/x+15 divided by h
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%2812%2F%28x%2Bh%2B15%29-12%2F%28x%2B15%29%29%2Fh Start with the given expression.


%28%2812%28x%2B15%29%29%2F%28%28x%2B15%29%28x%2Bh%2B15%29%29-12%2F%28x%2B15%29%29%2Fh Multiply the first upper fraction by %28x%2B15%29%2F%28x%2B15%29 to get that denominator equal to the LCD.


Multiply the second upper fraction by %28x%2Bh%2B15%29%2F%28x%2Bh%2B15%29 to get that denominator equal to the LCD.


%28%2812%28x%2B15%29-%2812%28x%2Bh%2B15%29%29%29%2F%28%28x%2B15%29%28x%2Bh%2B15%29%29%29%2Fh Combine the upper fractions.


%2812x%2B180-12x-12h-180%29%2F%28%28x%2B15%29%28x%2Bh%2B15%29%29%29%2Fh Distribute


%28-12h%29%2F%28%28x%2B15%29%28x%2Bh%2B15%29%29%29%2Fh Combine like terms.


%28%28-12h%29%2F%28%28x%2B15%29%28x%2Bh%2B15%29%29%29%281%2Fh%29 Multiply the upper fraction by the reciprocal of the lower fraction.


Highlight the common terms.


%28%28-12%2Across%28h%29%29%2F%28%28x%2B15%29%28x%2Bh%2B15%29%29%29%281%2Fcross%28h%29%29 Cancel out the common terms.



-12%2F%28%28x%2B15%29%28x%2Bh%2B15%29%29 Simplify.


So %2812%2F%28x%2Bh%2B15%29-12%2F%28x%2B15%29%29%2Fh=-12%2F%28%28x%2B15%29%28x%2Bh%2B15%29%29