What is 1+(12)/((0.4s+1)s(s+1)) ?

The solution to 1+(12)/((0.4s+1)s(s+1)) is (0.4s^3+1.4s^2+s+12)/((0.4s+1)s(s+1))

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simplify 1+(12)/((0.4s+1)s(s+1))

simplify

1 + \frac{12}{( 0.4 s + 1 ) s ( s + 1 )}

\frac{0.4 s ^{3} + 1.4 s ^{2} + s + 12}{( 0.4 s + 1 ) s ( s + 1 )}

Solution steps

1 + \frac{12}{( 0.4 s + 1 ) s ( s + 1 )}

Apply the fraction rule:

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

= \frac{( 0.4 s + 1 ) s ( s + 1 ) + 12}{( 0.4 s + 1 ) s ( s + 1 )}

Simplify

(0.4 s + 1) s (s + 1) + 12 : 0.4 s^{3} + 1.4 s^{2} + s + 12

= \frac{0.4 s ^{3} + 1.4 s ^{2} + s + 12}{( 0.4 s + 1 ) s ( s + 1 )}

\frac{( x + 3 ) ( x - 3 ) ( 4 x + 1 )}{( x + 4 )}

(1 + 5 t)^{4} e^{2 + 2 t}

\frac{( 3 ql + 2 p ) l}{16}

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

\frac{( 4 x + 1 ) ( 2 x - 3 )}{4}

What is 1+(12)/((0.4s+1)s(s+1)) ?
The solution to 1+(12)/((0.4s+1)s(s+1)) is (0.4s^3+1.4s^2+s+12)/((0.4s+1)s(s+1))