erweitern ((x-4)^2)/(16)

Lösung

erweitern

\frac{( x - 4 ) ^{2}}{16}

\frac{x ^{2}}{16} - \frac{x}{2} + 1

Schritte zur Lösung

\frac{( x - 4 ) ^{2}}{16}

(x - 4)^{2} = x^{2} - 8 x + 16

= \frac{x ^{2} - 8 x + 16}{16}

Wende Bruchregel an:

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

\frac{x ^{2} - 8 x + 16}{16} = \frac{x ^{2}}{16} - \frac{8 x}{16} + \frac{16}{16}

= \frac{x ^{2}}{16} - \frac{8 x}{16} + \frac{16}{16}

Wende Regel an

\frac{a}{a} = 1

\frac{16}{16} = 1

= \frac{x ^{2}}{16} - \frac{8 x}{16} + 1

Streiche

\frac{8 x}{16} : \frac{x}{2}

= \frac{x ^{2}}{16} - \frac{x}{2} + 1

e x p an d \frac{1}{( T s + s ) s}

e x p an d \frac{1}{( x - 7 ) ( x - 2 )}

e x p an d ln (x) \cdot (x^{2} + 2 x - 4)

e x p an d \frac{3 n + 5}{7}

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