Write Out the Form of the Partial Fraction Decomposition $\frac { x ^ { 2 } - 8 } { ( x - 1 ) ^ { 2 } ( x + 3 ) }$

question 57

Essay

Write out the form of the partial fraction decomposition. $\frac { x ^ { 2 } - 8 } { ( x - 1 ) ^ { 2 } ( x + 3 ) }$

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Definitions:

Ottonian Westworks

The monumental western entrance of a church, characteristic of the architecture of the Ottonian dynasty in Germany during the 10th and early 11th centuries.

Saint-Étienne

A French city renowned for its historical contributions to the textile industry and notable for its modern design and art culture.

Crusades

In medieval Europe, armed pilgrimages aimed at recapturing the Holy Land from the Muslims.

La Madeleine

A prehistoric Paleolithic rock shelter located in France, famous for its archaeological significance and its association with the Magdalenian culture.