What is expand (x^2(x^2-3))/((x^2-1)^2) ?

The solution to expand (x^2(x^2-3))/((x^2-1)^2) is (x^4-3x^2)/(x^4-2x^2+1)

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expand (x^2(x^2-3))/((x^2-1)^2)

expand

\frac{x ^{2} ( x ^{2} - 3 )}{( x ^{2} - 1 ) ^{2}}

\frac{x ^{4} - 3 x ^{2}}{x ^{4} - 2 x ^{2} + 1}

Solution steps

\frac{x ^{2} ( x ^{2} - 3 )}{( x ^{2} - 1 ) ^{2}}

(x^{2} - 1)^{2} = x^{4} - 2 x^{2} + 1

= \frac{x ^{2} ( x ^{2} - 3 )}{x ^{4} - 2 x ^{2} + 1}

Expand

x^{2} (x^{2} - 3) : x^{4} - 3 x^{2}

= \frac{x ^{4} - 3 x ^{2}}{x ^{4} - 2 x ^{2} + 1}

(7 x - \frac{1}{3}) (7 x + \frac{1}{3})

\frac{e ^{(- 3 s) (4 - 8 s)}}{s ^{2} + 64}

(- 1 + i 3)^{4}

(x + i)^{4}

(8 + 7) (9 + 2)

What is expand (x^2(x^2-3))/((x^2-1)^2) ?
The solution to expand (x^2(x^2-3))/((x^2-1)^2) is (x^4-3x^2)/(x^4-2x^2+1)