erweitern ((y+1)^2)/y

Lösung

erweitern

\frac{( y + 1 ) ^{2}}{y}

y + 2 + \frac{1}{y}

Schritte zur Lösung

\frac{( y + 1 ) ^{2}}{y}

(y + 1)^{2} = y^{2} + 2 y + 1

= \frac{y ^{2} + 2 y + 1}{y}

Wende Bruchregel an:

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

\frac{y ^{2} + 2 y + 1}{y} = \frac{y ^{2}}{y} + \frac{2 y}{y} + \frac{1}{y}

= \frac{y ^{2}}{y} + \frac{2 y}{y} + \frac{1}{y}

Streiche

\frac{y ^{2}}{y} : y

= y + \frac{2 y}{y} + \frac{1}{y}

Streiche

\frac{2 y}{y} : 2

= y + 2 + \frac{1}{y}

e x p an d \frac{x - 9}{( x - 4 ) ( x + 4 )}

e x p an d e^{2 (t - 3)} cos (w) (t - 3) H (t - 3)

e x p an d \frac{x ( x - 1 )}{( x + 7 ) ( x - 6 )}

e x p an d \frac{x ^{2} + 2 x + k}{2 ( x + 2 )}

e x p an d (2, - 3) y (- 5, 4)