vereinfachen 1+(k(s+4))/(s(s+1.2)(s+2))

Lösung

vereinfachen

1 + \frac{k ( s + 4 )}{s ( s + 1.2 ) ( s + 2 )}

\frac{s ^{3} + 3.2 s ^{2} + 2.4 s + k s + 4 k}{s ( s + 1.2 ) ( s + 2 )}

Schritte zur Lösung

1 + \frac{k ( s + 4 )}{s ( s + 1.2 ) ( s + 2 )}

Wende Bruchregel an:

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

= \frac{s ( s + 1.2 ) ( s + 2 ) + k ( s + 4 )}{s ( s + 1.2 ) ( s + 2 )}

Vereinfache

s (s + 1.2) (s + 2) + k (s + 4) : s^{3} + 3.2 s^{2} + 2.4 s + k s + 4 k

= \frac{s ^{3} + 3.2 s ^{2} + 2.4 s + k s + 4 k}{s ( s + 1.2 ) ( s + 2 )}

e x p an d 80 (1 - 0.1 (5) + h)^{3}

e x p an d \frac{5 x - 12}{( 3 x + 6 ) ^{2}}

e x p an d \frac{4 + s ^{2}}{s ( s ^{2} + 16 )}

e x p an d \frac{5 ( 1153 - 25 )}{24}

e x p an d (1 + x - x^{2})^{7}