What is 1+(0.024X)/((s+0.2)(s+0.1)) ?

The solution to 1+(0.024X)/((s+0.2)(s+0.1)) is (s^2+0.3s+0.02+0.024X)/((s+0.2)(s+0.1))

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simplify 1+(0.024X)/((s+0.2)(s+0.1))

simplify

1 + \frac{0.024 X}{( s + 0.2 ) ( s + 0.1 )}

\frac{s ^{2} + 0.3 s + 0.02 + 0.024 X}{( s + 0.2 ) ( s + 0.1 )}

Solution steps

1 + \frac{0.024 X}{( s + 0.2 ) ( s + 0.1 )}

Apply the fraction rule:

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

= \frac{( s + 0.2 ) ( s + 0.1 ) + 0.024 X}{( s + 0.2 ) ( s + 0.1 )}

Simplify

(s + 0.2) (s + 0.1) + 0.024 X : s^{2} + 0.3 s + 0.02 + 0.024 X

= \frac{s ^{2} + 0.3 s + 0.02 + 0.024 X}{( s + 0.2 ) ( s + 0.1 )}

a r gu m e n t (1 + i)

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

2 x^{(10 x - 1) (10 x + 1)}

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

(e^{x} sin (2 x)) \cdot (e^{x} cos (2 x) - 2 e^{x} sin (2 x))

What is 1+(0.024X)/((s+0.2)(s+0.1)) ?
The solution to 1+(0.024X)/((s+0.2)(s+0.1)) is (s^2+0.3s+0.02+0.024X)/((s+0.2)(s+0.1))