vereinfachen 1+(1325)/(s(s+1.71)(s+100))

Lösung

vereinfachen

1 + \frac{1325}{s ( s + 1.71 ) ( s + 100 )}

\frac{s ^{3} + 101.71 s ^{2} + 171 s + 1325}{s ( s + 1.71 ) ( s + 100 )}

Schritte zur Lösung

1 + \frac{1325}{s ( s + 1.71 ) ( s + 100 )}

Wende Bruchregel an:

1 + \frac{b}{c} = \frac{c + b}{c}

= \frac{s ( s + 1.71 ) ( s + 100 ) + 1325}{s ( s + 1.71 ) ( s + 100 )}

Vereinfache

s (s + 1.71) (s + 100) + 1325 : s^{3} + 101.71 s^{2} + 171 s + 1325

= \frac{s ^{3} + 101.71 s ^{2} + 171 s + 1325}{s ( s + 1.71 ) ( s + 100 )}

e x p an d l c f (- 15, 10, - 5)

e x p an d (e^{x^{2}} - 1)^{4}

e x p an d \frac{32 ( 2 n + 1 ) ( n + 1 )}{3 n ^{2}}

e x p an d (sin (x) + x cos (x)) (x + cos (x))

e x p an d P_{15} (P_{6} + P_{7} x + x^{2})^{3}