erweitern ((n^2+n)^2)/4

Lösung

erweitern

\frac{( n ^{2} + n ) ^{2}}{4}

\frac{n ^{4}}{4} + \frac{n ^{3}}{2} + \frac{n ^{2}}{4}

Schritte zur Lösung

\frac{( n ^{2} + n ) ^{2}}{4}

(n^{2} + n)^{2} = n^{4} + 2 n^{3} + n^{2}

= \frac{n ^{4} + 2 n ^{3} + n ^{2}}{4}

Wende Bruchregel an:

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

\frac{n ^{4} + 2 n ^{3} + n ^{2}}{4} = \frac{n ^{4}}{4} + \frac{2 n ^{3}}{4} + \frac{n ^{2}}{4}

= \frac{n ^{4}}{4} + \frac{2 n ^{3}}{4} + \frac{n ^{2}}{4}

Streiche

\frac{2 n ^{3}}{4} : \frac{n ^{3}}{2}

= \frac{n ^{4}}{4} + \frac{n ^{3}}{2} + \frac{n ^{2}}{4}

e x p an d (l - e)^{2}

e x p an d (D^{2} - D) (e^{3} x + 3 x^{3})

e x p an d in t er sec (t) o (- 4) (x - 3)^{2} + 10

e x p an d (a + b = 1,) - (2 a + b = 5)

e x p an d \frac{( 20 d - a t ) ^{2}}{25 t ^{2}}