erweitern ((8x+5)^2)/(16)

Lösung

erweitern

\frac{( 8 x + 5 ) ^{2}}{16}

4 x^{2} + 5 x + \frac{25}{16}

Schritte zur Lösung

\frac{( 8 x + 5 ) ^{2}}{16}

(8 x + 5)^{2} = 64 x^{2} + 80 x + 25

= \frac{64 x ^{2} + 80 x + 25}{16}

Wende Bruchregel an:

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

\frac{64 x ^{2} + 80 x + 25}{16} = \frac{64 x ^{2}}{16} + \frac{80 x}{16} + \frac{25}{16}

= \frac{64 x ^{2}}{16} + \frac{80 x}{16} + \frac{25}{16}

Teile die Zahlen:

\frac{64}{16} = 4

= 4 x^{2} + \frac{80 x}{16} + \frac{25}{16}

Teile die Zahlen:

\frac{80}{16} = 5

= 4 x^{2} + 5 x + \frac{25}{16}

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

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

e x p an d 10 (2 e - \frac{2}{e})

e x p an d (y - x) y^{'} (x)

e x p an d (j (x) = 9, x - 5 \cdot h (x) = - 2 x) (x)