erweitern x^{2/3}(2x-5)

Lösung

erweitern

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

2 x^{\frac{5}{3}} - x^{\frac{2}{3}} \cdot 5

Schritte zur Lösung

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

Wende das Distributivgesetz an:

a (b - c) = ab - a c

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

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

Vereinfache

x^{\frac{2}{3}} \cdot 2 x : 2 x^{\frac{5}{3}}

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

e x p an d \frac{x ^{2} + 2 x - 4}{( x + 1 ) ^{2}}

e x p an d t + H (t - π) (2 (t - π) + H (t - π))

e x p an d (y^{3} x^{2} + 2 y) d x + x^{2} y^{3} (4 y d x + 5 x d y)

e x p an d 3 in (e^{x} + 1)

e x p an d (3 - e^{t})^{2}