erweitern x/((x^2+w^2)(x^2+4))

Lösung

erweitern

\frac{x}{( x ^{2} + w ^{2} ) ( x ^{2} + 4 )}

\frac{x}{x ^{4} + 4 x ^{2} + x ^{2} w ^{2} + 4 w ^{2}}

Schritte zur Lösung

\frac{x}{( x ^{2} + w ^{2} ) ( x ^{2} + 4 )}

Multipliziere aus

(x^{2} + w^{2}) (x^{2} + 4) : x^{4} + 4 x^{2} + x^{2} w^{2} + 4 w^{2}

= \frac{x}{x ^{4} + 4 x ^{2} + x ^{2} w ^{2} + 4 w ^{2}}

e x p an d (cos (x) + cos (y))^{2}

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

s im pl i f y (1 - \frac{2}{x + 1}) (3 x^{3})

e x p an d x^{\frac{2}{3}} (x + 1 - x)

s im pl i f y x^{2} \cdot (\frac{1}{2 x ^{\frac{1}{2}}} + 1)