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

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

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

expand

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

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

Solution steps

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

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

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

(6 + 7 x) x^{5} e^{7 x} + 4

\frac{( 21 x ^{2} - 51 x y )}{( - 3 x )}

(2 x x + 4 x) (2 x)

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

a sin (\frac{π}{6} (k + 2)) + b cos (\frac{π}{6} (k + 2))

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