erweitern (2x^{2/3}+3)^2

Lösung

erweitern

(2 x^{\frac{2}{3}} + 3)^{2}

4 x^{\frac{4}{3}} + 12 x^{\frac{2}{3}} + 9

Schritte zur Lösung

(2 x^{\frac{2}{3}} + 3)^{2}

Wende Formel für perfekte quadratische Gleichungen an:

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

(2 x^{\frac{2}{3}} + 3)^{2} = (2 x^{\frac{2}{3}})^{2} + 2 \cdot 2 x^{\frac{2}{3}} \cdot 3 + 3^{2}

= (2 x^{\frac{2}{3}})^{2} + 2 \cdot 2 x^{\frac{2}{3}} \cdot 3 + 3^{2}

(2 x^{\frac{2}{3}})^{2} = 4 x^{\frac{4}{3}}

2 \cdot 2 x^{\frac{2}{3}} \cdot 3 = 12 x^{\frac{2}{3}}

3^{2} = 9

= 4 x^{\frac{4}{3}} + 12 x^{\frac{2}{3}} + 9

e x p an d (t + 5)^{2} e^{a t}

e x p an d (2 cos (x) - 1) (cos (x) + 1)

e x p an d x (8 - 2 ln (x))

s im pl i f y 2 (1 + sin (θ))

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