What is expand ((3+x)^2)/((3-x^2)^4) ?

The solution to expand ((3+x)^2)/((3-x^2)^4) is (9+6x+x^2)/(81-108x^2+54x^4-12x^6+x^8)

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expand ((3+x)^2)/((3-x^2)^4)

expand

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

\frac{9 + 6 x + x ^{2}}{81 - 108 x ^{2} + 54 x ^{4} - 12 x ^{6} + x ^{8}}

Solution steps

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

(3 - x^{2})^{4} = 81 - 108 x^{2} + 54 x^{4} - 12 x^{6} + x^{8}

= \frac{( 3 + x ) ^{2}}{81 - 108 x ^{2} + 54 x ^{4} - 12 x ^{6} + x ^{8}}

(3 + x)^{2} = 9 + 6 x + x^{2}

= \frac{9 + 6 x + x ^{2}}{81 - 108 x ^{2} + 54 x ^{4} - 12 x ^{6} + x ^{8}}

(3 y^{3} + 4 y x + 1 + 2 x^{2} + 9 y^{2} x)

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\frac{d}{d A} ([(A + B) C]^{^{'}} + B^{^{'}})

- \frac{21 x ^{2} + 2}{( 7 x ^{3} + 2 x - 4 ) ^{2}}

e^{4 x^{2} + 4 x + 3} (8 x + 4) \cdot cos (e^{4 x^{2} + 4 x + 3})

What is expand ((3+x)^2)/((3-x^2)^4) ?
The solution to expand ((3+x)^2)/((3-x^2)^4) is (9+6x+x^2)/(81-108x^2+54x^4-12x^6+x^8)