vereinfachen (sqrt(x)-1/(3x^2))^{10}

Lösung

vereinfachen

(x - \frac{1}{3 x ^{2}})^{10}

\frac{( 3 x x ^{2} - 1 ) ^{10}}{59049 x ^{20}}

Schritte zur Lösung

(x - \frac{1}{3 x ^{2}})^{10}

Vereinfache

x - \frac{1}{3 x ^{2}} : \frac{3 x x ^{2} - 1}{3 x ^{2}}

= (\frac{3 x x ^{2} - 1}{3 x ^{2}})^{10}

Wende Exponentenregel an:

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

= \frac{( 3 x x ^{2} - 1 ) ^{10}}{( 3 x ^{2} ) ^{10}}

Vereinfache

(3 x^{2})^{10} : 59049 x^{20}

= \frac{( 3 x x ^{2} - 1 ) ^{10}}{59049 x ^{20}}

e x p an d \frac{18 ( - x ^{2} + 1 )}{( x ^{2} + 3 ) ^{3}}

s im pl i f y (x - 3) (x - 3)

e x p an d 3 8 + 16 x

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

e x p an d 2 (ln (7 + 43) - 3)