erweitern-27x^{1/3}(2x^2+14x+42)

Lösung

erweitern

- 27 x^{\frac{1}{3}} (2 x^{2} + 14 x + 42)

- 54 x^{\frac{7}{3}} - 378 x^{\frac{4}{3}} - 1134 x^{\frac{1}{3}}

Schritte zur Lösung

- 27 x^{\frac{1}{3}} (2 x^{2} + 14 x + 42)

Wende das Distributivgesetz an:

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

- 27 x^{\frac{1}{3}} (2 x^{2} + 14 x + 42) = - 27 x^{\frac{1}{3}} \cdot 2 x^{2} - 27 x^{\frac{1}{3}} \cdot 14 x - 27 x^{\frac{1}{3}} \cdot 42

= - 27 x^{\frac{1}{3}} \cdot 2 x^{2} - 27 x^{\frac{1}{3}} \cdot 14 x - 27 x^{\frac{1}{3}} \cdot 42

- 27 x^{\frac{1}{3}} \cdot 2 x^{2} = - 54 x^{\frac{7}{3}}

27 x^{\frac{1}{3}} \cdot 14 x = 378 x^{\frac{4}{3}}

27 x^{\frac{1}{3}} \cdot 42 = 1134 x^{\frac{1}{3}}

= - 54 x^{\frac{7}{3}} - 378 x^{\frac{4}{3}} - 1134 x^{\frac{1}{3}}

e x p an d sin (\frac{π}{6})

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

s im pl i f y 2 (2 + 22 + 6)

e x p an d \frac{ln ( \frac{cy - f y}{c ( - f + y )} )}{b}

s im pl i f y x (\frac{384}{x - 12} + 8)