Exercise
https://texercises.com/exercise/partialbruchzerlegung-bei-ganzzahligen-und-komplexen-nullstellen-ii/
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Exercise:
Die Nenner der folgen Brüche lassen sich vollständig in Linearfaktoren mit ganzzahligen Nullstellen sowie allfälligen komplexen Nullstellen zerlegen. Stelle jeden Bruch als Summe von Partialbrüchen dar. nprvmulticols abcliste %a abc displaystyle fracx^-x+x^-x^+x- %b abc displaystyle fracx^+x+x^-x+ %c abc displaystyle fracx^-x+x^-x^+x- %d abc displaystyle fracx^-x+x^-x^+x- %e abc displaystyle fracx^+x+x^-x^+ %f abc displaystyle fracx^-x+x^-x^+x- %g abc displaystyle fracx^+x+x^-x^+x- %h abc displaystyle fracx^-x+x^-x^+x- %i abc displaystyle fracx^+x+x^-x^+x- %j abc displaystyle fracx^-x+x^-x^+x- %k abc displaystyle fracx^+x+x^-x^+x- %l abc displaystyle fracx^-x+x^-x^+x- abcliste nprvmulticols

Solution:
%maxima %i expr : / x-+*%i*x--*%i + /x-; %i ratsimpexpr; abcliste %a abc fracx^-x+x^-x^+x- frac xmathop+x^mathop- xmathop+ + fracxmathop- %b abc fracx^+x+x^-x+ frac xmathop+x^mathop- xmathop+ + fracxmathop+ %c abc fracx^-x+x^-x^+x- fracxmathop+x^mathop- xmathop+ + fracxmathop- %d abc fracx^-x+x^-x^+x- fracx+x^-x+ + fracx- %e abc fracx^+x+x^-x^+ fracx+x^-x+ + fracx- %f abc fracx^-x+x^-x^+x- fracx+x^-x+ + fracx- %g abc fracx^+x+x^-x^+x- fracx+x^+x+ + fracx- %h abc fracx^-x+x^-x^+x- fracx+x^-x+ + fracx- %i abc fracx^+x+x^-x^+x- fracx+x^+ + fracx- %j abc fracx^-x+x^-x^+x- fracx+x^-x+ + fracx- %k abc fracx^+x+x^-x^+x- fracx+x^-x+ + fracx- %l abc fracx^-x+x^-x^+x- fracx+x^-x+ + fracx- abcliste
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Exercise:
Die Nenner der folgen Brüche lassen sich vollständig in Linearfaktoren mit ganzzahligen Nullstellen sowie allfälligen komplexen Nullstellen zerlegen. Stelle jeden Bruch als Summe von Partialbrüchen dar. nprvmulticols abcliste %a abc displaystyle fracx^-x+x^-x^+x- %b abc displaystyle fracx^+x+x^-x+ %c abc displaystyle fracx^-x+x^-x^+x- %d abc displaystyle fracx^-x+x^-x^+x- %e abc displaystyle fracx^+x+x^-x^+ %f abc displaystyle fracx^-x+x^-x^+x- %g abc displaystyle fracx^+x+x^-x^+x- %h abc displaystyle fracx^-x+x^-x^+x- %i abc displaystyle fracx^+x+x^-x^+x- %j abc displaystyle fracx^-x+x^-x^+x- %k abc displaystyle fracx^+x+x^-x^+x- %l abc displaystyle fracx^-x+x^-x^+x- abcliste nprvmulticols

Solution:
%maxima %i expr : / x-+*%i*x--*%i + /x-; %i ratsimpexpr; abcliste %a abc fracx^-x+x^-x^+x- frac xmathop+x^mathop- xmathop+ + fracxmathop- %b abc fracx^+x+x^-x+ frac xmathop+x^mathop- xmathop+ + fracxmathop+ %c abc fracx^-x+x^-x^+x- fracxmathop+x^mathop- xmathop+ + fracxmathop- %d abc fracx^-x+x^-x^+x- fracx+x^-x+ + fracx- %e abc fracx^+x+x^-x^+ fracx+x^-x+ + fracx- %f abc fracx^-x+x^-x^+x- fracx+x^-x+ + fracx- %g abc fracx^+x+x^-x^+x- fracx+x^+x+ + fracx- %h abc fracx^-x+x^-x^+x- fracx+x^-x+ + fracx- %i abc fracx^+x+x^-x^+x- fracx+x^+ + fracx- %j abc fracx^-x+x^-x^+x- fracx+x^-x+ + fracx- %k abc fracx^+x+x^-x^+x- fracx+x^-x+ + fracx- %l abc fracx^-x+x^-x^+x- fracx+x^-x+ + fracx- abcliste
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Attributes & Decorations
Tags
mathematik, partialbruchzerlegung
Content image
Difficulty
(3, default)
Points
12 (default)
Language
GER (Deutsch)
Type
Calculative / Quantity
Creator uz
Decoration