erweitern (z(65a^3b^5-174c^2x))/(1885a^2b^3c)

Lösung

erweitern

\frac{z ( 65 a ^{3} b ^{5} - 174 c ^{2} x )}{1885 a ^{2} b ^{3} c}

\frac{a b ^{2} z}{29 c} - \frac{6 cz x}{65 a ^{2} b ^{3}}

Schritte zur Lösung

\frac{z ( 65 a ^{3} b ^{5} - 174 c ^{2} x )}{1885 a ^{2} b ^{3} c}

Multipliziere aus

z (65 a^{3} b^{5} - 174 c^{2} x) : 65 a^{3} b^{5} z - 174 c^{2} z x

= \frac{65 a ^{3} b ^{5} z - 174 c ^{2} z x}{1885 a ^{2} b ^{3} c}

Wende Bruchregel an:

\frac{a \pm b}{c} = \frac{a}{c} \pm \frac{b}{c}

\frac{65 a ^{3} b ^{5} z - 174 c ^{2} z x}{1885 a ^{2} b ^{3} c} = \frac{65 a ^{3} b ^{5} z}{1885 a ^{2} b ^{3} c} - \frac{174 c ^{2} z x}{1885 a ^{2} b ^{3} c}

= \frac{65 a ^{3} b ^{5} z}{1885 a ^{2} b ^{3} c} - \frac{174 c ^{2} z x}{1885 a ^{2} b ^{3} c}

Streiche

\frac{65 a ^{3} b ^{5} z}{1885 a ^{2} b ^{3} c} : \frac{a b ^{2} z}{29 c}

= \frac{a b ^{2} z}{29 c} - \frac{174 c ^{2} z x}{1885 a ^{2} b ^{3} c}

Streiche

\frac{174 c ^{2} z x}{1885 a ^{2} b ^{3} c} : \frac{6 cz x}{65 a ^{2} b ^{3}}

= \frac{a b ^{2} z}{29 c} - \frac{6 cz x}{65 a ^{2} b ^{3}}

e x p an d \frac{( x ^{2} - 16 ) ( x ^{2} + 6 x + 8 )}{( x - 1 ) ( x ^{2} + 2 x - 3 )}

e x p an d \frac{d ^{2} y}{d ^{2} x} (x^{2} + y^{2} = 25)

\frac{d}{d t} ((x) (a (a t^{2} + b t + c) + b)^{r (x, t)})

e x p an d \frac{2 x - 4}{( x ^{2} + x ) \cdot ( x ^{2} + 1 )}

e x p an d \frac{5 ( - 2 y + 3 )}{6}