What is expand 1/((1+xj)^2(2+xj)^2) ?

The solution to expand 1/((1+xj)^2(2+xj)^2) is 1/(j^4x^4+6j^3x^3+13j^2x^2+12jx+4)

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expand 1/((1+xj)^2(2+xj)^2)

expand

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

\frac{1}{j ^{4} x ^{4} + 6 j ^{3} x ^{3} + 13 j ^{2} x ^{2} + 12 j x + 4}

Solution steps

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

(1 + x j)^{2} = 1 + 2 j x + j^{2} x^{2}

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

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

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

Expand

(1 + 2 j x + j^{2} x^{2}) (4 + 4 j x + j^{2} x^{2}) : j^{4} x^{4} + 6 j^{3} x^{3} + 13 j^{2} x^{2} + 12 j x + 4

= \frac{1}{j ^{4} x ^{4} + 6 j ^{3} x ^{3} + 13 j ^{2} x ^{2} + 12 j x + 4}

\frac{10 s + 2}{( s ^{2} + 5 ) ( s ^{2} + 7 )}

e^{(x + 2)} (3 x^{2} - 9)

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

t^{2} + (e - 9) t + 3 e

lo g_{10} (1000000 x)

What is expand 1/((1+xj)^2(2+xj)^2) ?
The solution to expand 1/((1+xj)^2(2+xj)^2) is 1/(j^4x^4+6j^3x^3+13j^2x^2+12jx+4)