vereinfachen (5+sqrt(16-y^2))^2

Lösung

vereinfachen

(5 + 16 - y^{2})^{2}

- y^{2} + 10 16 - y^{2} + 41

Schritte zur Lösung

(5 + 16 - y^{2})^{2}

Wende Formel für perfekte quadratische Gleichungen an:

(a + b)^{2} = a^{2} + 2 ab + b^{2}

(5 + 16 - y^{2})^{2} = 5^{2} + 2 \cdot 5 16 - y^{2} + (16 - y^{2})^{2}

= 5^{2} + 2 \cdot 5 16 - y^{2} + (16 - y^{2})^{2}

Vereinfache

5^{2} + 2 \cdot 5 16 - y^{2} + (16 - y^{2})^{2} : - y^{2} + 10 16 - y^{2} + 41

= - y^{2} + 10 16 - y^{2} + 41

e x p an d 4 d - 7^{2}

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e x p an d (x cos (x) + sinh (x)) cos (x)