What is expand (6x^2+2)/((x^2-1)^3) ?

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

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expand (6x^2+2)/((x^2-1)^3)

expand

\frac{6 x ^{2} + 2}{( x ^{2} - 1 ) ^{3}}

\frac{6 x ^{2} + 2}{x ^{6} - 3 x ^{4} + 3 x ^{2} - 1}

Solution steps

\frac{6 x ^{2} + 2}{( x ^{2} - 1 ) ^{3}}

(x^{2} - 1)^{3} = x^{6} - 3 x^{4} + 3 x^{2} - 1

= \frac{6 x ^{2} + 2}{x ^{6} - 3 x ^{4} + 3 x ^{2} - 1}

\frac{( n + 1 ) ! \cdot 2}{n ( n + 1 )}

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

(2, 3) y (6, - 5)

- (a + b) x + cy + d z

6 (x + Δ x)^{3}

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