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Mathematics
Mathematics
Problem
State the general form in which a rational function
P
(
x
)
(
x
−
a
)
3
\dfrac{P(x)}{(x-a)^3}
(
x
−
a
)
3
P
(
x
)
with
deg
P
(
x
)
<
3
\deg P(x)<3
de
g
P
(
x
)
<
3
can be expressed as a sum of simpler fractions involving the factor
(
x
−
a
)
(x-a)
(
x
−
a
)
.
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