What is 1+k/((s+1)(s^2+s+1.5)) ?

The solution to 1+k/((s+1)(s^2+s+1.5)) is (s^3+2s^2+2.5s+1.5+k)/((s+1)(s^2+s+1.5))

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simplify 1+k/((s+1)(s^2+s+1.5))

simplify

1 + \frac{k}{( s + 1 ) ( s ^{2} + s + 1.5 )}

\frac{s ^{3} + 2 s ^{2} + 2.5 s + 1.5 + k}{( s + 1 ) ( s ^{2} + s + 1.5 )}

Solution steps

1 + \frac{k}{( s + 1 ) ( s ^{2} + s + 1.5 )}

Apply the fraction rule:

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

= \frac{( s + 1 ) ( s ^{2} + s + 1.5 ) + k}{( s + 1 ) ( s ^{2} + s + 1.5 )}

Simplify

(s + 1) (s^{2} + s + 1.5) + k : s^{3} + 2 s^{2} + 2.5 s + 1.5 + k

= \frac{s ^{3} + 2 s ^{2} + 2.5 s + 1.5 + k}{( s + 1 ) ( s ^{2} + s + 1.5 )}

\frac{( ( x + 4 ) ( 6 a + x - 4 ) )}{6}

\frac{\partial}{\partial x} ((z) (z^{3} - 3 x yz))

\frac{1}{( x + 2 ) ( x + 1 )}

(1 - x^{2}) p^{''} (x) - 2 x p^{'} (x)

3 (e - 1)

What is 1+k/((s+1)(s^2+s+1.5)) ?
The solution to 1+k/((s+1)(s^2+s+1.5)) is (s^3+2s^2+2.5s+1.5+k)/((s+1)(s^2+s+1.5))