erweitern dx((10)/(z^2)-4/(z^6))

Lösung

erweitern

d x (\frac{10}{z ^{2}} - \frac{4}{z ^{6}})

\frac{10 d x}{z ^{2}} - \frac{4 d x}{z ^{6}}

Schritte zur Lösung

d x (\frac{10}{z ^{2}} - \frac{4}{z ^{6}})

Wende das Distributivgesetz an:

a (b - c) = ab - a c

a = d x, b = \frac{10}{z ^{2}}, c = \frac{4}{z ^{6}}

= d x \frac{10}{z ^{2}} - d x \frac{4}{z ^{6}}

= \frac{10}{z ^{2}} d x - \frac{4}{z ^{6}} d x

Vereinfache

\frac{10}{z ^{2}} d x - \frac{4}{z ^{6}} d x : \frac{10 d x}{z ^{2}} - \frac{4 d x}{z ^{6}}

= \frac{10 d x}{z ^{2}} - \frac{4 d x}{z ^{6}}

e x p an d (6 x^{2}) (e^{- 2 x}) + (2 x^{3} - 1) (- 2 e^{- 2 x})

e x p an d (\frac{2 x}{y ^{2}})^{5}

e x p an d \frac{( 1 - cos ( z ) )}{( z ^{3} ( z - 3 ) )}

e x p an d (- 15)^{3} (4)^{3} + [(- 5)^{2}]^{2}

e x p an d \frac{( a - b ) ^{2} + ( c - d ) ^{2} + ( e - f ) ^{2}}{2}