erweitern (4(2xz^pi-yt)(2xz^pi+yt))/(y^2z^{2pi)}

Lösung

erweitern

\frac{4 ( 2 x z ^{π} - y t ) ( 2 x z ^{π} + y t )}{y ^{2} z ^{2 π}}

\frac{16 x ^{2}}{y ^{2}} - \frac{4 t ^{2}}{z ^{2 π}}

Schritte zur Lösung

\frac{4 ( 2 x z ^{π} - y t ) ( 2 x z ^{π} + y t )}{y ^{2} z ^{2 π}}

Multipliziere aus

4 (2 x z^{π} - y t) (2 x z^{π} + y t) : 16 x^{2} z^{2 π} - 4 y^{2} t^{2}

= \frac{16 x ^{2} z ^{2 π} - 4 y ^{2} t ^{2}}{y ^{2} z ^{2 π}}

Wende Bruchregel an:

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

\frac{16 x ^{2} z ^{2 π} - 4 y ^{2} t ^{2}}{y ^{2} z ^{2 π}} = \frac{16 x ^{2} z ^{2 π}}{y ^{2} z ^{2 π}} - \frac{4 y ^{2} t ^{2}}{y ^{2} z ^{2 π}}

= \frac{16 x ^{2} z ^{2 π}}{y ^{2} z ^{2 π}} - \frac{4 y ^{2} t ^{2}}{y ^{2} z ^{2 π}}

Streiche

\frac{16 x ^{2} z ^{2 π}}{y ^{2} z ^{2 π}} : \frac{16 x ^{2}}{y ^{2}}

= \frac{16 x ^{2}}{y ^{2}} - \frac{4 y ^{2} t ^{2}}{y ^{2} z ^{2 π}}

Streiche

\frac{4 y ^{2} t ^{2}}{y ^{2} z ^{2 π}} : \frac{4 t ^{2}}{z ^{2 π}}

= \frac{16 x ^{2}}{y ^{2}} - \frac{4 t ^{2}}{z ^{2 π}}

e x p an d (x^{3} + y^{3}) d x + 3 x y^{2} d y

e x p an d (f \circ g) (- 2 x^{2} + 4 x) \cdot (x^{2} + 18 x + 77)

e x p an d 24 (x - \frac{x + 2}{12} = \frac{5 x}{2})

e x p an d \frac{1}{y ^{2} ( 1 - y )}

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