erweitern (t^2+1)(2sqrt(t^2+1))

Lösung

erweitern

(t^{2} + 1) (2 t^{2} + 1)

2 t^{2} t^{2} + 1 + 2 t^{2} + 1

Schritte zur Lösung

(t^{2} + 1) (2 t^{2} + 1)

= (2 t^{2} + 1) (t^{2} + 1)

Wende das Distributivgesetz an:

a (b + c) = ab + a c

(2 t^{2} + 1) (t^{2} + 1) = 2 t^{2} + 1 t^{2} + 2 t^{2} + 1 \cdot 1

= 2 t^{2} + 1 t^{2} + 2 t^{2} + 1 \cdot 1

Vereinfache

2 t^{2} + 1 t^{2} + 2 t^{2} + 1 \cdot 1 : 2 t^{2} t^{2} + 1 + 2 t^{2} + 1

= 2 t^{2} t^{2} + 1 + 2 t^{2} + 1

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