erweitern ((5+c)/2)^2

Lösung

erweitern

(\frac{5 + c}{2})^{2}

\frac{25}{4} + \frac{5 c}{2} + \frac{c ^{2}}{4}

Schritte zur Lösung

(\frac{5 + c}{2})^{2}

Wende Exponentenregel an:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

= \frac{( 5 + c ) ^{2}}{2 ^{2}}

(5 + c)^{2} = 25 + 10 c + c^{2}

= \frac{25 + 10 c + c ^{2}}{2 ^{2}}

2^{2} = 4

= \frac{25 + 10 c + c ^{2}}{4}

Wende Bruchregel an:

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

\frac{25 + 10 c + c ^{2}}{4} = \frac{25}{4} + \frac{10 c}{4} + \frac{c ^{2}}{4}

= \frac{25}{4} + \frac{10 c}{4} + \frac{c ^{2}}{4}

Streiche

\frac{10 c}{4} : \frac{5 c}{2}

= \frac{25}{4} + \frac{5 c}{2} + \frac{c ^{2}}{4}

\frac{d}{d t} ((x) (1 - t))

e x p an d \frac{2 ( 3 π - 4 ) a ^{3}}{9}

e x p an d π (6 - \frac{ln ( 2 )}{16})

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

e x p an d \frac{x ^{3} - 1}{x ( x + 1 ) ^{3}}