vereinfachen ((a+1)/a)^2+((a-1)/a)^2

Lösung

vereinfachen

(\frac{a + 1}{a})^{2} + (\frac{a - 1}{a})^{2}

\frac{2 a ^{2} + 2}{a ^{2}}

Schritte zur Lösung

(\frac{a + 1}{a})^{2} + (\frac{a - 1}{a})^{2}

(\frac{a + 1}{a})^{2} = \frac{( a + 1 ) ^{2}}{a ^{2}}

(\frac{a - 1}{a})^{2} = \frac{( a - 1 ) ^{2}}{a ^{2}}

= \frac{( a + 1 ) ^{2}}{a ^{2}} + \frac{( a - 1 ) ^{2}}{a ^{2}}

Füge zusammen:

\frac{( a + 1 ) ^{2}}{a ^{2}} + \frac{( a - 1 ) ^{2}}{a ^{2}} : \frac{2 a ^{2} + 2}{a ^{2}}

= \frac{2 a ^{2} + 2}{a ^{2}}

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