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https://texercises.com/exercise/pascalsches-dreieck-i/
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Exercise:
Potenziere die folgen Terme unter Verwung des Pascal'schen Dreiecks aus. nprvmulticols abclist abc a-b^ abc a+b^ abc x^+x^ abc x^-^ abc x^-x^^ abc -x^^ abc x+.^-x-.^ abc qtyx+dfrac x^ abc qtyx^+dfrac x^ abclist nprvmulticols

Solution:
abclist abc edt qtya-b^ a^ + a^qty-b + aqty-b^ + qty-b^ a^ - a^b + ab^ - b^ ed abc edt qtya+b^ qtya^ + qtya^qtyb + qtyaqtyb^ + qtyb^ a^ + a^b + ab^ + b^ ed abc edt qtyx^+x^ qtyx^^ + qtyx^^x + x^x^ + x^ x^ + x^ + x^ + x^ ed abc edt qtyx^-^ qtyx^^ + qtyx^^qty- + qtyx^qty-^ + qty-^ x^ - x^ + x^ - ed abc edt qtyx^-x^^ qtyx^^ + qtyx^^qty-x^ + qtyx^^qty-x^^ + qtyx^qty-x^^ + qty-x^^ x^ - x^ + x^ - x^ + x^ ed abc edt qty-x^^ + qty-x^ + qty-x^^ + qty-x^^ - x^ +x^ - x^ ed abc edt qtyx+.^-qtyx-.^ x^ + x^ . + x^ .^ + x .^ + .^ &qquad- qtyx^ - x^ . + x^ .^ - x .^ + .^ x^ + x ed abc edt qtyx+dfrac x^ x^ + x^qtyfracx + x^ qtyfracx^ + xqtyfracx^ + qtyfracx^ x^ + x^ + + x^- + x^- ed abc edt qtyx^+dfrac x^ qtyx^^ + qtyx^^qtyfracx + x^qtyfrac x^ + qtyfrac x^ x^ + x^ + + x^- ed abclist
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\(\LaTeX\)-Code
Exercise:
Potenziere die folgen Terme unter Verwung des Pascal'schen Dreiecks aus. nprvmulticols abclist abc a-b^ abc a+b^ abc x^+x^ abc x^-^ abc x^-x^^ abc -x^^ abc x+.^-x-.^ abc qtyx+dfrac x^ abc qtyx^+dfrac x^ abclist nprvmulticols

Solution:
abclist abc edt qtya-b^ a^ + a^qty-b + aqty-b^ + qty-b^ a^ - a^b + ab^ - b^ ed abc edt qtya+b^ qtya^ + qtya^qtyb + qtyaqtyb^ + qtyb^ a^ + a^b + ab^ + b^ ed abc edt qtyx^+x^ qtyx^^ + qtyx^^x + x^x^ + x^ x^ + x^ + x^ + x^ ed abc edt qtyx^-^ qtyx^^ + qtyx^^qty- + qtyx^qty-^ + qty-^ x^ - x^ + x^ - ed abc edt qtyx^-x^^ qtyx^^ + qtyx^^qty-x^ + qtyx^^qty-x^^ + qtyx^qty-x^^ + qty-x^^ x^ - x^ + x^ - x^ + x^ ed abc edt qty-x^^ + qty-x^ + qty-x^^ + qty-x^^ - x^ +x^ - x^ ed abc edt qtyx+.^-qtyx-.^ x^ + x^ . + x^ .^ + x .^ + .^ &qquad- qtyx^ - x^ . + x^ .^ - x .^ + .^ x^ + x ed abc edt qtyx+dfrac x^ x^ + x^qtyfracx + x^ qtyfracx^ + xqtyfracx^ + qtyfracx^ x^ + x^ + + x^- + x^- ed abc edt qtyx^+dfrac x^ qtyx^^ + qtyx^^qtyfracx + x^qtyfrac x^ + qtyfrac x^ x^ + x^ + + x^- ed abclist
Contained in these collections:

Attributes & Decorations
Branches
Elementary algebra
Tags
algebra, natürliche exponenten, potenzen
Content image
Difficulty
(1, default)
Points
0 (default)
Language
GER (Deutsch)
Type
Calculative / Quantity
Creator pw
Decoration
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Link