Hello, I'm wondering what the reason for repeat linear factors in partial fractions is?(adsbygoogle = window.adsbygoogle || []).push({});

I can't find an explanation online, they all just saydo it!*

I kind of understand why

[tex]\frac{A}{x + 2} + \frac{B}{(x + 2)^2}[/tex]

can turn into ;

[tex] \frac{6x + 7}{(x + 2)^2}[/tex]

Is there any reasonably easy way to rigorously understand this, nearly everything in calc I've found has a really easy way of understanding it, this has to join the group!

because of the common factor thing, but that sketchy notion isn't enough anymore.

*more or less :tongue2:

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# The Philosophy of Repeat Linear Fractions?

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