erweitern ((z-y)^2)/x

Lösung

erweitern

\frac{( z - y ) ^{2}}{x}

\frac{z ^{2}}{x} - \frac{2 zy}{x} + \frac{y ^{2}}{x}

Schritte zur Lösung

\frac{( z - y ) ^{2}}{x}

(z - y)^{2} = z^{2} - 2 zy + y^{2}

= \frac{z ^{2} - 2 zy + y ^{2}}{x}

Wende Bruchregel an:

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

\frac{z ^{2} - 2 zy + y ^{2}}{x} = \frac{z ^{2}}{x} - \frac{2 zy}{x} + \frac{y ^{2}}{x}

= \frac{z ^{2}}{x} - \frac{2 zy}{x} + \frac{y ^{2}}{x}

e x p an d 2 H (t - 2) (t - 2) - t + 4 H (t)

e x p an d \frac{10 ( s + 1 )}{s ^{2} + s + 10}

e x p an d \frac{4 x + 5}{( x - 2 ) ^{3} ( x + 3 )}

e x p an d \frac{3 a ( a - 2 b ) ^{2}}{2 b ^{3}}

e x p an d α (c α, a α + b α + c α, 4 a α + 2 b α + c α)