vereinfachen 1+((s+2.7035)(s+4))/(s^3+2s^2+3s)

Lösung

vereinfachen

1 + \frac{( s + 2.7035 ) ( s + 4 )}{s ^{3} + 2 s ^{2} + 3 s}

\frac{s ^{3} + 3 s ^{2} + 9.7035 s + 10.814}{s ^{3} + 2 s ^{2} + 3 s}

Schritte zur Lösung

1 + \frac{( s + 2.7035 ) ( s + 4 )}{s ^{3} + 2 s ^{2} + 3 s}

Wende Bruchregel an:

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

= \frac{( s ^{3} + 2 s ^{2} + 3 s ) + ( s + 2.7035 ) ( s + 4 )}{s ^{3} + 2 s ^{2} + 3 s}

Apply rule:

(a) = a

(s^{3} + 2 s^{2} + 3 s) = s^{3} + 2 s^{2} + 3 s

= \frac{s ^{3} + 2 s ^{2} + 3 s + ( s + 2.7035 ) ( s + 4 )}{s ^{3} + 2 s ^{2} + 3 s}

Vereinfache

s^{3} + 2 s^{2} + 3 s + (s + 2.7035) (s + 4) : s^{3} + 3 s^{2} + 9.7035 s + 10.814

= \frac{s ^{3} + 3 s ^{2} + 9.7035 s + 10.814}{s ^{3} + 2 s ^{2} + 3 s}

e x p an d 5 (x - 2 y = 11)

e x p an d f (x) I n (e^{2 x} + 5)

e x p an d (a^{x + 1} - b^{x + 1}) l e f t (b^{x + 1} + a^{x - 1})

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

e x p an d (a - a^{2} - 1)^{3}