Fraction decomposition
[src]
10/s - 25/(2*(1 + s)) + 5/(2*(5 + s))
$$\frac{5}{2 \left(s + 5\right)} - \frac{25}{2 \left(s + 1\right)} + \frac{10}{s}$$
10 25 5
-- - --------- + ---------
s 2*(1 + s) 2*(5 + s)
General simplification
[src]
50
-----------------
s*(1 + s)*(5 + s)
$$\frac{50}{s \left(s + 1\right) \left(s + 5\right)}$$
10.0/(s*(1.0 + s)*(1.0 + 0.2*s))
10.0/(s*(1.0 + s)*(1.0 + 0.2*s))
10
-----------------
/ s\
s*(1 + s)*|1 + -|
\ 5/
$$\frac{10}{s \left(\frac{s}{5} + 1\right) \left(s + 1\right)}$$
Combining rational expressions
[src]
50
-----------------
s*(1 + s)*(5 + s)
$$\frac{50}{s \left(s + 1\right) \left(s + 5\right)}$$
Rational denominator
[src]
50
-----------------
s*(1 + s)*(5 + s)
$$\frac{50}{s \left(s + 1\right) \left(s + 5\right)}$$
Assemble expression
[src]
10
-----------------
/ s\
s*(1 + s)*|1 + -|
\ 5/
$$\frac{10}{s \left(\frac{s}{5} + 1\right) \left(s + 1\right)}$$
50
---------------
3 2
s + 5*s + 6*s
$$\frac{50}{s^{3} + 6 s^{2} + 5 s}$$
10
-----------------
/ s\
s*(1 + s)*|1 + -|
\ 5/
$$\frac{10}{s \left(\frac{s}{5} + 1\right) \left(s + 1\right)}$$
50
-----------------
s*(1 + s)*(5 + s)
$$\frac{50}{s \left(s + 1\right) \left(s + 5\right)}$$