erweitern ((-5d-9s)^2)/4

Lösung

erweitern

\frac{( - 5 d - 9 s ) ^{2}}{4}

\frac{25 d ^{2}}{4} + \frac{45 d s}{2} + \frac{81 s ^{2}}{4}

Schritte zur Lösung

\frac{( - 5 d - 9 s ) ^{2}}{4}

(- 5 d - 9 s)^{2} = 25 d^{2} + 90 d s + 81 s^{2}

= \frac{25 d ^{2} + 90 d s + 81 s ^{2}}{4}

Wende Bruchregel an:

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

\frac{25 d ^{2} + 90 d s + 81 s ^{2}}{4} = \frac{25 d ^{2}}{4} + \frac{90 d s}{4} + \frac{81 s ^{2}}{4}

= \frac{25 d ^{2}}{4} + \frac{90 d s}{4} + \frac{81 s ^{2}}{4}

Streiche

\frac{90 d s}{4} : \frac{45 d s}{2}

= \frac{25 d ^{2}}{4} + \frac{45 d s}{2} + \frac{81 s ^{2}}{4}

e x p an d l (e^{2 t} + 3 t^{3} + sin (5 t))

e x p an d (2 x + 2 y + 2 z) (2 y e^{z} + 2 x e^{z})

e x p an d \frac{1}{( a + x ) ( x + b )}

e x p an d (x + d x) + 5 (x^{2} - 1)

e x p an d (b + d^{2}) a