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how to simplify e^5x-e^-5x

 Nov 4, 2015

Best Answer 

 #2
avatar+130517 
+5

This also might be :

 

e5x - e-5x    ....if so......we can factor out the e-5x  and be left with :

 

e-5x (e10x  - 1 )

 

Whether this is "simpler" than the original expression is debatable.....!!!

 

 

cool cool cool

 Nov 4, 2015
 #1
avatar+118723 
+10

\(e^5x-e^{-5}x\\ =e^5x-\frac{x}{e^5}\\ =e^5x-\frac{x}{e^5}\\ =\frac{e^{10}x-x}{e^5}\\ =\frac{x(e^{10}-1)}{e^5}\\\)

 

I would consider the second last answer as the most simple but the last one looks better :))

 Nov 4, 2015
 #2
avatar+130517 
+5
Best Answer

This also might be :

 

e5x - e-5x    ....if so......we can factor out the e-5x  and be left with :

 

e-5x (e10x  - 1 )

 

Whether this is "simpler" than the original expression is debatable.....!!!

 

 

cool cool cool

CPhill Nov 4, 2015

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