Mathe Analysis

1. Basics
Binomische Formeln
(a+b)2=a2+2ab+b2 (a+b)3=a3+3a2b+3ab2+b3
(a-b)2=a2-2ab+b2 (a-b)3=a3-3a2b+3ab2-b3
(a+b)(a-b)=a2-b2 a3-b3=(a-b)(a2+ab+b2)
Wurzeln und Potenzen
√a√a=a √a>=0 √a2=|a|
√a√b=√ab √a/√b=√a/b n√an√a=a
an=aa a0=1 a1=a
a-x=1/ax axay=ax+y ax/ay=ax-y
(ax)y=axy axbx=(ab)x ax/bx=(a/b)x
a1/n=n√a am/n=n√am

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