erweitern (a^{1/2}+b^{1/2})^2

Lösung

erweitern

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

a + 2 a^{\frac{1}{2}} b^{\frac{1}{2}} + b

Schritte zur Lösung

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

Wende Formel für perfekte quadratische Gleichungen an:

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

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

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

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

(b^{\frac{1}{2}})^{2} = b

= a + 2 a^{\frac{1}{2}} b^{\frac{1}{2}} + b

s im pl i f y (0.5 \cdot \frac{1}{3} + \frac{1}{5}) \cdot 1.2

e x p an d e^{k t} (cosh (2 k t) - H (t - a) (t - b))

e x p an d sin^{2} (y) + (cos (y) - tan (y)) (cos (y) + tan (y))

s im pl i f y (3 x - 2) (3 x + 2)

e x p an d (cos (y) - x sec^{2} (y)) d x - sin (y) d y