erweitern (((b-a))/2)^2

Lösung

erweitern

(\frac{( b - a )}{2})^{2}

\frac{b ^{2}}{4} - \frac{ba}{2} + \frac{a ^{2}}{4}

Schritte zur Lösung

(\frac{b - a}{2})^{2}

Wende Exponentenregel an:

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

= \frac{( b - a ) ^{2}}{2 ^{2}}

(b - a)^{2} = b^{2} - 2 ba + a^{2}

= \frac{b ^{2} - 2 ba + a ^{2}}{2 ^{2}}

2^{2} = 4

= \frac{b ^{2} - 2 ba + a ^{2}}{4}

Wende Bruchregel an:

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

\frac{b ^{2} - 2 ba + a ^{2}}{4} = \frac{b ^{2}}{4} - \frac{2 ba}{4} + \frac{a ^{2}}{4}

= \frac{b ^{2}}{4} - \frac{2 ba}{4} + \frac{a ^{2}}{4}

Streiche

\frac{2 ba}{4} : \frac{ba}{2}

= \frac{b ^{2}}{4} - \frac{ba}{2} + \frac{a ^{2}}{4}

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

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

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

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

e x p an d \frac{y ( x - π )}{x ( 1 - p ^{2} )}