erweitern (x^{7/2}-x^{5/2})*x^{3/2}

Lösung

erweitern

(x^{\frac{7}{2}} - x^{\frac{5}{2}}) \cdot x^{\frac{3}{2}}

x^{5} - x^{4}

Schritte zur Lösung

(x^{\frac{7}{2}} - x^{\frac{5}{2}}) x^{\frac{3}{2}}

= x^{\frac{3}{2}} (x^{\frac{7}{2}} - x^{\frac{5}{2}})

Wende das Distributivgesetz an:

a (b - c) = ab - a c

x^{\frac{3}{2}} (x^{\frac{7}{2}} - x^{\frac{5}{2}}) = x^{\frac{3}{2}} x^{\frac{7}{2}} - x^{\frac{3}{2}} x^{\frac{5}{2}}

= x^{\frac{3}{2}} x^{\frac{7}{2}} - x^{\frac{3}{2}} x^{\frac{5}{2}}

x^{\frac{3}{2}} x^{\frac{7}{2}} = x^{5}

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

= x^{5} - x^{4}

e x p an d - 3 (- 2 - 5)

e x p an d 21 (2 + \frac{2}{3} x)

s im pl i f y (t - sin (t))^{2} + (1 - cos (t))^{2}

s im pl i f y (x + 3 y^{4}) (x - 3 y^{4})

e x p an d - \frac{r}{8} (2 s - 8)