vereinfachen (sqrt(4-r^2)+sqrt(9-r^2))^2

Lösung

vereinfachen

(4 - r^{2} + 9 - r^{2})^{2}

- 2 r^{2} + 2 4 - r^{2} 9 - r^{2} + 13

Schritte zur Lösung

(4 - r^{2} + 9 - r^{2})^{2}

Wende Formel für perfekte quadratische Gleichungen an:

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

(4 - r^{2} + 9 - r^{2})^{2} = (4 - r^{2})^{2} + 2 4 - r^{2} 9 - r^{2} + (9 - r^{2})^{2}

= (4 - r^{2})^{2} + 2 4 - r^{2} 9 - r^{2} + (9 - r^{2})^{2}

Vereinfache

(4 - r^{2})^{2} + 2 4 - r^{2} 9 - r^{2} + (9 - r^{2})^{2} : - 2 r^{2} + 2 4 - r^{2} 9 - r^{2} + 13

= - 2 r^{2} + 2 4 - r^{2} 9 - r^{2} + 13

e x p an d \frac{( 0.159 + x ) ( 0.1251 + x )}{( 0.5612 - x )}

e x p an d \frac{- 3 x ^{2} + 2 x + 3}{2 ( x + 1 ) ( x - 1 )}

e x p an d \frac{( x + 1 ) ^{2}}{( x + 3 ) ( x + 2 )}

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

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