What is 1+k/(jw^2(jw+3.6)) ?

The solution to 1+k/(jw^2(jw+3.6)) is (w^3j^2+3.6w^2j+k)/(jw^2(jw+3.6))

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simplify 1+k/(jw^2(jw+3.6))

simplify

1 + \frac{k}{j w ^{2} ( j w + 3.6 )}

\frac{w ^{3} j ^{2} + 3.6 w ^{2} j + k}{j w ^{2} ( j w + 3.6 )}

Solution steps

1 + \frac{k}{j w ^{2} ( j w + 3.6 )}

Apply the fraction rule:

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

= \frac{j w ^{2} ( j w + 3.6 ) + k}{j w ^{2} ( j w + 3.6 )}

Simplify

j w^{2} (j w + 3.6) + k : w^{3} j^{2} + 3.6 w^{2} j + k

= \frac{w ^{3} j ^{2} + 3.6 w ^{2} j + k}{j w ^{2} ( j w + 3.6 )}

\frac{x - 5}{( x + 3 ) ( x ^{2} + 7 x + 6 )}

\frac{2 x ( 216 - 216 x + 72 x ^{2} - 8 x ^{3} )}{81}

\frac{( x ^{2} + 3 x - 5 ) z ^{2} ( z - 3 ) ^{2} + 3}{x ^{2} + 3 x + 4}

\frac{e ^{t} ( t ^{2} + 1 ) - 2 t e ^{t}}{( t ^{2} + 1 ) ^{2}}

e^{t (- \frac{1}{a} + i)}

What is 1+k/(jw^2(jw+3.6)) ?
The solution to 1+k/(jw^2(jw+3.6)) is (w^3j^2+3.6w^2j+k)/(jw^2(jw+3.6))