erweitern-3^{1/3}(2x^2-3x+5+2x^{1/2}-4x^{3/2})

Lösung

erweitern

- 3^{\frac{1}{3}} (2 x^{2} - 3 x + 5 + 2 x^{\frac{1}{2}} - 4 x^{\frac{3}{2}})

- 3^{\frac{1}{3}} \cdot 2 x^{2} + 3^{\frac{1}{3}} \cdot 3 x - 3^{\frac{1}{3}} \cdot 5 - 3^{\frac{1}{3}} \cdot 2 x^{\frac{1}{2}} + 3^{\frac{1}{3}} \cdot 4 x^{\frac{3}{2}}

Schritte zur Lösung

- 3^{\frac{1}{3}} (2 x^{2} - 3 x + 5 + 2 x^{\frac{1}{2}} - 4 x^{\frac{3}{2}})

Setze Klammern

= - 3^{\frac{1}{3}} \cdot 2 x^{2} - 3^{\frac{1}{3}} (- 3 x) - 3^{\frac{1}{3}} \cdot 5 - 3^{\frac{1}{3}} \cdot 2 x^{\frac{1}{2}} - 3^{\frac{1}{3}} (- 4 x^{\frac{3}{2}})

Vereinfache

- 3^{\frac{1}{3}} \cdot 2 x^{2} - 3^{\frac{1}{3}} (- 3 x) - 3^{\frac{1}{3}} \cdot 5 - 3^{\frac{1}{3}} \cdot 2 x^{\frac{1}{2}} - 3^{\frac{1}{3}} (- 4 x^{\frac{3}{2}}) : - 3^{\frac{1}{3}} \cdot 2 x^{2} + 3^{\frac{1}{3}} \cdot 3 x - 3^{\frac{1}{3}} \cdot 5 - 3^{\frac{1}{3}} \cdot 2 x^{\frac{1}{2}} + 3^{\frac{1}{3}} \cdot 4 x^{\frac{3}{2}}

= - 3^{\frac{1}{3}} \cdot 2 x^{2} + 3^{\frac{1}{3}} \cdot 3 x - 3^{\frac{1}{3}} \cdot 5 - 3^{\frac{1}{3}} \cdot 2 x^{\frac{1}{2}} + 3^{\frac{1}{3}} \cdot 4 x^{\frac{3}{2}}

e x p an d 2 x^{2 x} (ln (x) + 1)

e x p an d \frac{1}{s \cdot ( 1 + 2 \cdot s + 3 \cdot s ^{2} + 1.5 s ^{3} )}

e x p an d y d x - 2 (x - y) d y

e x p an d (6 cot (θ) + 5)^{2}

e x p an d 4 (72 x^{7} ln (x) + 17 x^{7}) x^{2}