What is expand (x^2(9-x^2))/((3-x^2)^2) ?

The solution to expand (x^2(9-x^2))/((3-x^2)^2) is (9x^2-x^4)/(9-6x^2+x^4)

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expand (x^2(9-x^2))/((3-x^2)^2)

expand

\frac{x ^{2} ( 9 - x ^{2} )}{( 3 - x ^{2} ) ^{2}}

\frac{9 x ^{2} - x ^{4}}{9 - 6 x ^{2} + x ^{4}}

Solution steps

\frac{x ^{2} ( 9 - x ^{2} )}{( 3 - x ^{2} ) ^{2}}

(3 - x^{2})^{2} = 9 - 6 x^{2} + x^{4}

= \frac{x ^{2} ( - x ^{2} + 9 )}{9 - 6 x ^{2} + x ^{4}}

Expand

x^{2} (9 - x^{2}) : 9 x^{2} - x^{4}

= \frac{9 x ^{2} - x ^{4}}{9 - 6 x ^{2} + x ^{4}}

a cos (ω t - k x) + a cos (ω t - k (x + δ x))

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

\frac{k ( s + 1 )}{s ^{2} ( s + 10 ) ( s + 100 )}

\frac{1 - e ^{- 2 s}}{s ( s ^{2} + 4 )}

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What is expand (x^2(9-x^2))/((3-x^2)^2) ?
The solution to expand (x^2(9-x^2))/((3-x^2)^2) is (9x^2-x^4)/(9-6x^2+x^4)