erweitern (4/(2-5x))^3

Lösung

erweitern

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

\frac{64}{8 - 60 x + 150 x ^{2} - 125 x ^{3}}

Schritte zur Lösung

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

Wende Exponentenregel an:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

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

(2 - 5 x)^{3} = 8 - 60 x + 150 x^{2} - 125 x^{3}

= \frac{4 ^{3}}{8 - 60 x + 150 x ^{2} - 125 x ^{3}}

4^{3} = 64

= \frac{64}{8 - 60 x + 150 x ^{2} - 125 x ^{3}}

e x p an d \frac{7 ( x + h ) ^{2}}{2}

e x p an d (cos (a) + cos (b)) (cos (a) - cos (b))

e x p an d (A x + B) (x^{4} + 2 x^{3} + 5 x^{2} + 4 x + 4) (x^{6} + 3 x^{4} + 3 x^{2} + 1)

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

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