erweitern ((y-1)(2xz+1))/y

Lösung

erweitern

\frac{( y - 1 ) ( 2 x z + 1 )}{y}

2 x z + 1 - \frac{2 x z}{y} - \frac{1}{y}

Schritte zur Lösung

\frac{( y - 1 ) ( 2 x z + 1 )}{y}

Multipliziere aus

(y - 1) (2 x z + 1) : 2 y x z + y - 2 x z - 1

= \frac{2 y x z + y - 2 x z - 1}{y}

Wende Bruchregel an:

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

\frac{2 y x z + y - 2 x z - 1}{y} = \frac{2 y x z}{y} + \frac{y}{y} - \frac{2 x z}{y} - \frac{1}{y}

= \frac{2 y x z}{y} + \frac{y}{y} - \frac{2 x z}{y} - \frac{1}{y}

Wende Regel an

\frac{a}{a} = 1

\frac{y}{y} = 1

= \frac{2 y x z}{y} + 1 - \frac{2 x z}{y} - \frac{1}{y}

Streiche

\frac{2 y x z}{y} : 2 x z

= 2 x z + 1 - \frac{2 x z}{y} - \frac{1}{y}

e x p an d - \frac{4}{25} (5 e^{5 x} x - e^{5 x})

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

e x p an d (x - 9 = - y^{2}) 1

e x p an d (x^{3} + 2 x^{2} y + 9 x y + 18 y) d y

e x p an d \frac{7 x ^{2}}{( x + 3 ) ( x + 5 ) ( x - 5 )}