vereinfachen (2+sqrt(4-x^2-y^2))^2

Lösung

vereinfachen

(2 + 4 - x^{2} - y^{2})^{2}

- x^{2} - y^{2} + 4 4 - x^{2} - y^{2} + 8

Schritte zur Lösung

(2 + 4 - x^{2} - y^{2})^{2}

Wende Formel für perfekte quadratische Gleichungen an:

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

(2 + 4 - x^{2} - y^{2})^{2} = 2^{2} + 2 \cdot 2 4 - x^{2} - y^{2} + (4 - x^{2} - y^{2})^{2}

= 2^{2} + 2 \cdot 2 4 - x^{2} - y^{2} + (4 - x^{2} - y^{2})^{2}

Vereinfache

2^{2} + 2 \cdot 2 4 - x^{2} - y^{2} + (4 - x^{2} - y^{2})^{2} : - x^{2} - y^{2} + 4 4 - x^{2} - y^{2} + 8

= - x^{2} - y^{2} + 4 4 - x^{2} - y^{2} + 8

e x p an d - \frac{r ( a - bk )}{b c k}

e x p an d (- 4)^{3}

s im pl i f y (x + i (- x + 2))^{2}

e x p an d 2 (- 1)^{2} + 2 (- 1)

s im pl i f y (14 + tan (x)) (14 - tan (x)) + sec^{2} (x)