What is expand (9x^2-x^4)/((3-x^2)^2) ?

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

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expand (9x^2-x^4)/((3-x^2)^2)

expand

\frac{9 x ^{2} - x ^{4}}{( 3 - x ^{2} ) ^{2}}

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

Solution steps

\frac{9 x ^{2} - x ^{4}}{( 3 - x ^{2} ) ^{2}}

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

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

x (y^{6} + 1) d x + y^{2} (x^{4} + 1) d y

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

\frac{x}{( x + 1 ) \cdot ( x + 2 ) \cdot ( x + 3 )}

4 (z - 1) (z - e^{α})

(x - 3)^{2} + y^{2}

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