erweitern-((2c-10)^2)/(104)+50

Lösung

erweitern

- \frac{( 2 c - 10 ) ^{2}}{104} + 50

- \frac{c ^{2}}{26} + \frac{5 c}{13} - \frac{25}{26} + 50

Schritte zur Lösung

- \frac{( 2 c - 10 ) ^{2}}{104} + 50

\frac{( 2 c - 10 ) ^{2}}{104} = \frac{c ^{2} - 10 c + 25}{26}

= - \frac{c ^{2} - 10 c + 25}{26} + 50

Wende Bruchregel an:

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

\frac{c ^{2} - 10 c + 25}{26} = - (\frac{c ^{2}}{26}) - (- \frac{10 c}{26}) - (\frac{25}{26})

= - (\frac{c ^{2}}{26}) - (- \frac{10 c}{26}) - (\frac{25}{26}) + 50

Entferne die Klammern:

(a) = a, - (- a) = a

= - \frac{c ^{2}}{26} + \frac{10 c}{26} - \frac{25}{26} + 50

Streiche

\frac{10 c}{26} : \frac{5 c}{13}

= - \frac{c ^{2}}{26} + \frac{5 c}{13} - \frac{25}{26} + 50

\frac{d}{d t} ((x) (5.8 t + 9.7 t^{2}))

e x p an d \frac{5 x - 105}{7 ( x + 3 )}

e x p an d \frac{( - 420 t ^{2} - 2 t + 2940 )}{( t ^{2} + 7 ) ^{2}}

\frac{d}{d θ} ((x (θ)) (2 (1 - cos (θ))))

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