vereinfachen (sqrt(((x^2-4))/x)-k)^2

Lösung

vereinfachen

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

\frac{x ^{2} - 4 - 2 k \frac{x ^{2} - 4}{x} x + k ^{2} x}{x}

Schritte zur Lösung

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

Wende Formel für perfekte quadratische Gleichungen an:

(a - b)^{2} = a^{2} - 2 ab + b^{2}

(\frac{x ^{2} - 4}{x} - k)^{2} = (\frac{x ^{2} - 4}{x})^{2} - 2 \frac{x ^{2} - 4}{x} k + k^{2}

= (\frac{x ^{2} - 4}{x})^{2} - 2 \frac{x ^{2} - 4}{x} k + k^{2}

Vereinfache

(\frac{x ^{2} - 4}{x})^{2} - 2 \frac{x ^{2} - 4}{x} k + k^{2} : \frac{x ^{2} - 4 - 2 k \frac{x ^{2} - 4}{x} x + k ^{2} x}{x}

= \frac{x ^{2} - 4 - 2 k \frac{x ^{2} - 4}{x} x + k ^{2} x}{x}

e x p an d \frac{4 - s}{( s + 2 j ) ( s - 2 j ) ( s + 1 )}

e x p an d \frac{\frac{d}{d x} ( 2 x ^{2} ) - 13 x + 22}{( x - 2 ) ^{2}}

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

e x p an d (9 x^{2} + 8 x + 2) \circ (sin (x))

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