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

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

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

expand

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

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

Solution steps

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

Expand

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

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

\frac{100 x ^{3} - 600 x ^{2} + 1200 x - 800}{x}

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

arctan ((2 x^{3} + 2)^{3})

δ (x) - 2 y (1 - 2 x)

\frac{y ( y ^{4} - 4 )}{( x - y ^{4} ) ^{2}}

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