Simplify rational expression

bordy

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Sep 18, 2020
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Hello,
I've came across an expression I cannot simplify.
(1+a)/(1-a) - (1-a)/(a+1) - (4a-a^2)/(1-a^2)

\(\displaystyle \frac{1+a}{1-a} \ - \ \frac{1-a}{a+1} \ - \ \frac{4a-a^2}{1-a^2} \) ........ (added later)

The book says the correct answer is (a^2)/(1-a^2) but I cannot find any way to get there.
How would you encounter this expression ?
Any help would be appreciated.
 
Hello,
I've came across an expression I cannot simplify.
(1+a)/(1-a) - (1-a)/(a+1) - (4a-a^2)/(1-a^2)

The book says the correct answer is (a^2)/(1-a^2) but I cannot find any way to get there.
How would you encounter this expression ?
Any help would be appreciated.
What is the LCM of the denominators [ those being (1-a), (a+1) & (1-a^2)]
 
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