erweitern 1/2-((w-1)^2)/2+2w-2-(w^2-1)/2

Lösung

erweitern

\frac{1}{2} - \frac{( w - 1 ) ^{2}}{2} + 2 w - 2 - \frac{w ^{2} - 1}{2}

- w^{2} + 3 w + \frac{1}{2} - 2

Schritte zur Lösung

\frac{1}{2} - \frac{( w - 1 ) ^{2}}{2} + 2 w - 2 - \frac{w ^{2} - 1}{2}

Ziehe Brüche zusammen

\frac{1}{2} - \frac{( w - 1 ) ^{2}}{2} - \frac{w ^{2} - 1}{2} : \frac{1 - ( w - 1 ) ^{2} - ( w ^{2} - 1 )}{2}

= \frac{1 - ( w - 1 ) ^{2} - ( w ^{2} - 1 )}{2} + 2 w - 2

Multipliziere aus

1 - (w - 1)^{2} - (w^{2} - 1) : - 2 w^{2} + 2 w + 1

= \frac{- 2 w ^{2} + 2 w + 1}{2} + 2 w - 2

Ziehe Brüche zusammen

\frac{- 2 w ^{2} + 2 w + 1}{2} + 2 w : \frac{- 2 w ^{2} + 6 w + 1}{2}

= \frac{- 2 w ^{2} + 6 w + 1}{2} - 2

Wende Bruchregel an:

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

\frac{- 2 w ^{2} + 6 w + 1}{2} = - \frac{2 w ^{2}}{2} + \frac{6 w}{2} + \frac{1}{2}

= - \frac{2 w ^{2}}{2} + \frac{6 w}{2} + \frac{1}{2} - 2

Teile die Zahlen:

\frac{2}{2} = 1

= - w^{2} + \frac{6 w}{2} + \frac{1}{2} - 2

Teile die Zahlen:

\frac{6}{2} = 3

= - w^{2} + 3 w + \frac{1}{2} - 2

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

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

e x p an d (9 + cos (θ))^{3}

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

e x p an d \frac{10 ( 29 e ^{30} + 1 )}{3 e ^{30}}