erweitern x^{4/5}(x-9)^2

Lösung

erweitern

x^{\frac{4}{5}} (x - 9)^{2}

x^{\frac{14}{5}} - 18 x^{\frac{9}{5}} + x^{\frac{4}{5}} \cdot 81

Schritte zur Lösung

x^{\frac{4}{5}} (x - 9)^{2}

Schreibe

(x - 9)^{2}

um:

x^{2} - 18 x + 81

= x^{\frac{4}{5}} (x^{2} - 18 x + 81)

Wende das Distributivgesetz an:

m (a + b + c) = ma + mb + m c

x^{\frac{4}{5}} (x^{2} - 18 x + 81) = x^{\frac{4}{5}} x^{2} + x^{\frac{4}{5}} (- 18 x) + x^{\frac{4}{5}} \cdot 81

= x^{\frac{4}{5}} x^{2} + x^{\frac{4}{5}} (- 18 x) + x^{\frac{4}{5}} \cdot 81

x^{\frac{4}{5}} x^{2} = x^{\frac{14}{5}}

x^{\frac{4}{5}} (- 18 x) = - 18 x^{\frac{9}{5}}

= x^{\frac{14}{5}} - 18 x^{\frac{9}{5}} + x^{\frac{4}{5}} \cdot 81

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

e x p an d A (1, 3) y B (- 2, - 7)

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

s im pl i f y (2 x + 1) (2 x + 1)

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