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Is $\frac{a^4}{(b-a)(c-a)}+\frac{b^4}{(c-b)(a-b)}+\frac{c^4}{(a-c)(b-c)} $ always an integer?
In a textbook I found the rather strange identity:
$$ \frac{2^4}{(5-2)(3-2)}+\frac{3^4}{(5-3)(3-2)}+\frac{5^4}{(5-3)(5-2)}= \frac{414}{6}=69 $$
just kind if out of nowhere and I wonder if it ...
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3
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Partial Fractions with a Repeated and a Irreducible Quadratic factor
I am trying to make this into a partial fractions form but i can't seem to find a way to do it.
The question is here:
Change into a partial fractions form.
\begin{align}
\frac{2s}{(s+1)^2(s^2 + 1)}...
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