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

Lösung

erweitern

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

x^{\frac{8}{3}} - 4 x^{\frac{5}{3}} + x^{\frac{2}{3}} \cdot 4

Schritte zur Lösung

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

Schreibe

(x - 2)^{2}

um:

x^{2} - 4 x + 4

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

Wende das Distributivgesetz an:

m (a + b + c) = ma + mb + m c

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

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

x^{\frac{2}{3}} x^{2} = x^{\frac{8}{3}}

x^{\frac{2}{3}} (- 4 x) = - 4 x^{\frac{5}{3}}

= x^{\frac{8}{3}} - 4 x^{\frac{5}{3}} + x^{\frac{2}{3}} \cdot 4

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

e x p an d 6 3 t (8 - t)

s im pl i f y (3 - 4 y i)^{2}

s im pl i f y (x + 5) (x - 5)

e x p an d F (0, - 5)