SOLUTION: simplify the following by choosing which answer matches the problem. please show work. thank you. 2 5 [A] 7x+27 [B] 7 [C] 7 [D] 7x+27 --- + ---

Question 169732This question is from textbook intermediate algebra
: simplify the following by choosing which answer matches the problem. please show work. thank you.
2 5 [A] 7x+27 [B] 7 [C] 7 [D] 7x+27
--- + --- ----- ----- ----- ------
x+9 x-9 7 x+9 x^2-81 x^2-81

please help me with this problem. thank you! This question is from textbook intermediate algebra

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Notice how the LCD is . So we need to get EVERY denominator equal to the LCD.

Start with the given expression

Multiply the first fraction by

Multiply the second fraction by

Distribute

FOIL

Combine the fractions. This is possible since the denominators are equal.

Combine like terms.

So where or

So the answer is choice D
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