erweitern ((y-c)^2)/c

Lösung

erweitern

\frac{( y - c ) ^{2}}{c}

\frac{y ^{2}}{c} - 2 y + c

Schritte zur Lösung

\frac{( y - c ) ^{2}}{c}

(y - c)^{2} = y^{2} - 2 cy + c^{2}

= \frac{y ^{2} - 2 cy + c ^{2}}{c}

Wende Bruchregel an:

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

\frac{y ^{2} - 2 yc + c ^{2}}{c} = \frac{y ^{2}}{c} - \frac{2 yc}{c} + \frac{c ^{2}}{c}

= \frac{y ^{2}}{c} - \frac{2 cy}{c} + \frac{c ^{2}}{c}

Streiche

\frac{2 yc}{c} : 2 y

= \frac{y ^{2}}{c} - 2 y + \frac{c ^{2}}{c}

Streiche

\frac{c ^{2}}{c} : c

= \frac{y ^{2}}{c} - 2 y + c

e x p an d 8 \times 12

e x p an d k sin (\frac{π ( x - 7 )}{10})

e x p an d \frac{( x - 1 ) ( x - 3 )}{4}

e x p an d (n - 1)! \cdot ((n + 1)! - n!)

e x p an d (f (x) = x^{2} + 8 x + 13,) (,)