erweitern w^{3/7}(w^{4/7}+5w^{18/7})

Lösung

erweitern

w^{\frac{3}{7}} (w^{\frac{4}{7}} + 5 w^{\frac{18}{7}})

w + 5 w^{3}

Schritte zur Lösung

w^{\frac{3}{7}} (w^{\frac{4}{7}} + 5 w^{\frac{18}{7}})

Wende das Distributivgesetz an:

a (b + c) = ab + a c

w^{\frac{3}{7}} (w^{\frac{4}{7}} + 5 w^{\frac{18}{7}}) = w^{\frac{3}{7}} w^{\frac{4}{7}} + w^{\frac{3}{7}} \cdot 5 w^{\frac{18}{7}}

= w^{\frac{3}{7}} w^{\frac{4}{7}} + w^{\frac{3}{7}} \cdot 5 w^{\frac{18}{7}}

w^{\frac{3}{7}} w^{\frac{4}{7}} = w

w^{\frac{3}{7}} \cdot 5 w^{\frac{18}{7}} = 5 w^{3}

= w + 5 w^{3}

e x p an d \frac{sin ( x )}{x ( x + 1 )}

e x p an d 3 (1 + \frac{2}{n} i)^{2}

e x p an d (n + 7) lo g_{7} (x)

s im pl i f y (\frac{x ^{3}}{2} + 4 x^{2} - \frac{7 x}{9}) (2 x + 5)

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