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

Lösung

erweitern

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

5 x^{\frac{4}{3}} + 2 x^{\frac{5}{4}}

Schritte zur Lösung

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

Wende das Distributivgesetz an:

a (b + c) = ab + a c

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

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

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

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

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

e x p an d 9 x - (x - 2 = x + 23)

e x p an d (7 + 5) (3 - 5)

e x p an d (tan (x) - 1) (sec (x) tan (x))

e x p an d \frac{5832 x ( - 9 x ^{2} + 1 )}{( 1 + 9 x ^{2} ) ^{4}}

e x p an d \frac{e ^{- x} + x}{x ( x ^{2} + 3 x + 4 )}