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September 13th, 2014, 11:09 PM   #1
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A New member

Hello everybody!

I am a new member of this forum and this is my first participation.

At the moment, I am looking for the solution for the following:

Code:
[x^(-m) - (a^(-m)]/(x - a)
I intend to change the -ve indices into +ve.

Thanks, in anticipation, for any help.

Regards.
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Last edited by Raabi; September 13th, 2014 at 11:46 PM.
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September 14th, 2014, 12:05 AM   #2
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$\displaystyle [\frac{x^{-m}-a^{-m}}{x-a}]$

$\displaystyle =[\frac{\frac{1}{x^m}-\frac{1}{a^m}}{x-a}]$

$\displaystyle =[\frac{\frac{a^{m}-x^{m}}{x^{m}a^{m}}}{x-a}]$

$\displaystyle =[\frac{a^{m}-x^{m}}{a^{m}x^{m}}*\frac{1}{x-a}]$

Now simply multiply. Can you proceed ?

Last edited by Prakhar; September 14th, 2014 at 12:13 AM.
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September 14th, 2014, 12:10 AM   #3
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Thank you so much, prakhar! Have a nice time.
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