erweitern ((a+h)^2)/2+(a+h)

Lösung

erweitern

\frac{( a + h ) ^{2}}{2} + (a + h)

\frac{a ^{2}}{2} + ah + \frac{h ^{2}}{2} + a + h

Schritte zur Lösung

\frac{( a + h ) ^{2}}{2} + (a + h)

Entferne die Klammern:

(a) = a

= \frac{( a + h ) ^{2}}{2} + a + h

(a + h)^{2} = a^{2} + 2 ah + h^{2}

= \frac{h ^{2} + 2 ah + a ^{2}}{2} + a + h

Wende Bruchregel an:

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

\frac{a ^{2} + 2 ah + h ^{2}}{2} = \frac{a ^{2}}{2} + \frac{2 ah}{2} + \frac{h ^{2}}{2}

= \frac{a ^{2}}{2} + \frac{2 ah}{2} + \frac{h ^{2}}{2} + a + h

Teile die Zahlen:

\frac{2}{2} = 1

= \frac{a ^{2}}{2} + ah + \frac{h ^{2}}{2} + a + h

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

e x p an d 3 x^{2} - 9 x + 6 (- 2, - 1, 0, 1, 2, 3)

e x p an d \frac{( e ^{8} - 1 ) ^{2}}{4 e ^{8}}

e x p an d \frac{1}{( s ^{2} + s + 6 ) ^{2}}

e x p an d \frac{1}{2} (- 2 y + 12 z = 2)