What is expand (2(x^4-3x^2))/((x^2-1)^2) ?

The solution to expand (2(x^4-3x^2))/((x^2-1)^2) is (2x^4-6x^2)/(x^4-2x^2+1)

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expand (2(x^4-3x^2))/((x^2-1)^2)

expand

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

\frac{2 x ^{4} - 6 x ^{2}}{x ^{4} - 2 x ^{2} + 1}

Solution steps

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

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

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

Expand

2 (x^{4} - 3 x^{2}) : 2 x^{4} - 6 x^{2}

= \frac{2 x ^{4} - 6 x ^{2}}{x ^{4} - 2 x ^{2} + 1}

\frac{1}{( 3 + n ) ^{2}}

5 (y - 10 = - 5)

2 (5 + 8)

(x^{2} - \frac{1}{x})^{10}

What is expand (2(x^4-3x^2))/((x^2-1)^2) ?
The solution to expand (2(x^4-3x^2))/((x^2-1)^2) is (2x^4-6x^2)/(x^4-2x^2+1)