erweitern (12x(1-x))/(e^{2x)}

Lösung

erweitern

\frac{12 x ( 1 - x )}{e ^{2 x}}

\frac{12 x}{e ^{2 x}} - \frac{12 x ^{2}}{e ^{2 x}}

Schritte zur Lösung

\frac{12 x ( 1 - x )}{e ^{2 x}}

Multipliziere aus

12 x (1 - x) : 12 x - 12 x^{2}

= \frac{12 x - 12 x ^{2}}{e ^{2 x}}

Wende Bruchregel an:

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

\frac{12 x - 12 x ^{2}}{e ^{2 x}} = \frac{12 x}{e ^{2 x}} - \frac{12 x ^{2}}{e ^{2 x}}

= \frac{12 x}{e ^{2 x}} - \frac{12 x ^{2}}{e ^{2 x}}

e x p an d \frac{v - 1}{6 ( v + 7 )}

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

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

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

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