What is (R+(CLs)/(Ls^2+C))(Ls^2+C) ?

The solution to (R+(CLs)/(Ls^2+C))(Ls^2+C) is LRs^2+RC+LCs

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simplify (R+(CLs)/(Ls^2+C))(Ls^2+C)

simplify

(R + \frac{C L s}{L s ^{2} + C}) (L s^{2} + C)

L R s^{2} + RC + L C s

Solution steps

(R + \frac{C L s}{L s ^{2} + C}) (L s^{2} + C)

Join

R + \frac{C L s}{L s ^{2} + C} : \frac{L R s ^{2} + RC + L C s}{L s ^{2} + C}

= \frac{L R s ^{2} + RC + L C s}{L s ^{2} + C} (L s^{2} + C)

Cross-cancel common factor:

L s^{2} + C

= L R s^{2} + RC + L C s

\frac{b ^{2} + b b ^{2} - 4}{2}

- 1 + 7 \cdot \frac{( 5 m - 2 )}{5}

- \frac{( 2 )}{( x + a ) ^{2}}

e^{x} (- x^{3} + 2 x)

ln (\frac{x ^{2}}{y ^{5}})

What is (R+(CLs)/(Ls^2+C))(Ls^2+C) ?
The solution to (R+(CLs)/(Ls^2+C))(Ls^2+C) is LRs^2+RC+LCs