erweitern (3(2-x)^2)/2

Lösung

erweitern

\frac{3 ( 2 - x ) ^{2}}{2}

\frac{3 x ^{2}}{2} - 6 x + 6

Schritte zur Lösung

\frac{3 ( 2 - x ) ^{2}}{2}

(2 - x)^{2} = 4 - 4 x + x^{2}

= \frac{3 ( x ^{2} - 4 x + 4 )}{2}

Multipliziere aus

3 (4 - 4 x + x^{2}) : 12 - 12 x + 3 x^{2}

= \frac{12 - 12 x + 3 x ^{2}}{2}

Wende Bruchregel an:

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

\frac{12 - 12 x + 3 x ^{2}}{2} = \frac{12}{2} - \frac{12 x}{2} + \frac{3 x ^{2}}{2}

= \frac{12}{2} - \frac{12 x}{2} + \frac{3 x ^{2}}{2}

Teile die Zahlen:

\frac{12}{2} = 6

= 6 - 6 x + \frac{3 x ^{2}}{2}

Rewrite in standard form

= \frac{3 x ^{2}}{2} - 6 x + 6

e x p an d (2 + 7) 3

e x p an d \frac{( a + 1 ) ^{2}}{( a + 3 ) ( a + 5 )}

\frac{\partial}{\partial t} ((y) (2 y + e^{2 t}))

e x p an d (3, - 1) x \frac{3}{2}

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