erweitern (((z_{1}+z_{2})^2))/(z_{3)}

Lösung

erweitern

\frac{( ( z _{1} + z _{2} ) ^{2} )}{z _{3}}

\frac{z _{1}^{2}}{z _{3}} + \frac{2 z _{1} z _{2}}{z _{3}} + \frac{z _{2}^{2}}{z _{3}}

Schritte zur Lösung

\frac{( z _{1} + z _{2} ) ^{2}}{z _{3}}

(z_{1} + z_{2})^{2} = z_{1}^{2} + 2 z_{1} z_{2} + z_{2}^{2}

= \frac{z _{1}^{2} + 2 z _{1} z _{2} + z _{2}^{2}}{z _{3}}

Wende Bruchregel an:

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

\frac{z _{1}^{2} + 2 z _{1} z _{2} + z _{2}^{2}}{z _{3}} = \frac{z _{1}^{2}}{z _{3}} + \frac{2 z _{1} z _{2}}{z _{3}} + \frac{z _{2}^{2}}{z _{3}}

= \frac{z _{1}^{2}}{z _{3}} + \frac{2 z _{1} z _{2}}{z _{3}} + \frac{z _{2}^{2}}{z _{3}}

e x p an d - \frac{1}{12} (x) (\frac{( 96 - 16 x )}{12})^{3}

e x p an d \frac{x ( n + 1 ) ( n ^{2} + 3 )}{n ( n ^{2} + 2 n + 4 )}

e x p an d \frac{1}{3} (11 ln (11) - 11) + C

e x p an d (e + 4)^{2}

e x p an d \frac{s + 1}{s ( s + 5 )}