erweitern (sqrt(x-4))/(\sqrt[4]{(x-4)^3)}

Lösung

erweitern

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

\frac{x - 4 ( x ^{3} - 12 x ^{2} + 48 x - 64 ) ^{\frac{3}{4}}}{x ^{3} - 12 x ^{2} + 48 x - 64}

Schritte zur Lösung

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

4 (x - 4)^{3} = 4 x^{3} - 12 x^{2} + 48 x - 64

= \frac{x - 4}{4 x ^{3} - 12 x ^{2} + 48 x - 64}

Rationalisiere

\frac{x - 4}{4 x ^{3} - 12 x ^{2} + 48 x - 64} : \frac{x - 4 ( x ^{3} - 12 x ^{2} + 48 x - 64 ) ^{\frac{3}{4}}}{x ^{3} - 12 x ^{2} + 48 x - 64}

= \frac{x - 4 ( x ^{3} - 12 x ^{2} + 48 x - 64 ) ^{\frac{3}{4}}}{x ^{3} - 12 x ^{2} + 48 x - 64}

e x p an d \frac{f ( 4 x - 5 + h ) - 4 x - 5}{h}

e x p an d cos (x) d x + (1 + \frac{2}{y}) sin (x)

e x p an d \frac{3 ( - t ^{4} + 12 t ^{2} - 12 )}{2 t ^{2}}

e x p an d (1.45) (50)

e x p an d \frac{\frac{2}{3}}{5}