erweitern 1/((2+jw)^2(4+jw))

Lösung

erweitern

\frac{1}{( 2 + j w ) ^{2} ( 4 + j w )}

\frac{1}{16 + 20 j w + 8 j ^{2} w ^{2} + j ^{3} w ^{3}}

Schritte zur Lösung

\frac{1}{( 2 + j w ) ^{2} ( 4 + j w )}

(2 + j w)^{2} = 4 + 4 j w + j^{2} w^{2}

= \frac{1}{( j ^{2} w ^{2} + 4 j w + 4 ) ( j w + 4 )}

Multipliziere aus

(4 + 4 j w + j^{2} w^{2}) (4 + j w) : 16 + 20 j w + 8 j^{2} w^{2} + j^{3} w^{3}

= \frac{1}{16 + 20 j w + 8 j ^{2} w ^{2} + j ^{3} w ^{3}}

e x p an d (d + e)^{3}

e x p an d y (x + y = 7)

s im pl i f y (cot (x) + tan (y)) (sin (x + y)) + sin (x - y)

e x p an d \frac{d}{d x} ((x + 1) sin (x)) - x cos (x)

e x p an d (e + e^{t})^{2} + (ln (t) + 1)^{2} + 4 t^{2}