What is expand 1/((2+jw)^2(4+jw)) ?

The solution to expand 1/((2+jw)^2(4+jw)) is 1/(16+20jw+8j^2w^2+j^3w^3)

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expand 1/((2+jw)^2(4+jw))

expand

\frac{1}{( 2 + j w ) ^{2} ( 4 + j w )}

\frac{1}{16 + 20 j w + 8 j ^{2} w ^{2} + j ^{3} w ^{3}}

Solution steps

\frac{1}{( 2 + j w ) ^{2} ( 4 + j w )}

(2 + j w)^{2} = 4 + 4 j w + j^{2} w^{2}

= \frac{1}{( j ^{2} w ^{2} + 4 j w + 4 ) ( j w + 4 )}

Expand

(4 + 4 j w + j^{2} w^{2}) (4 + j w) : 16 + 20 j w + 8 j^{2} w^{2} + j^{3} w^{3}

= \frac{1}{16 + 20 j w + 8 j ^{2} w ^{2} + j ^{3} w ^{3}}

(d + e)^{3}

(x + 1) x e^{x}

y (x + y = 7)

(cos (3 t) + cos (4 t))^{2}

(cot (x) + tan (y)) (sin (x + y)) + sin (x - y)

What is expand 1/((2+jw)^2(4+jw)) ?
The solution to expand 1/((2+jw)^2(4+jw)) is 1/(16+20jw+8j^2w^2+j^3w^3)