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

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on Apr 04, 2025 at 8:53 am



You asked:

Evaluate the expression: x(x−1)(x2+1)2\frac{x}{\left(x - 1\right) {\left( {x}^{2} + 1 \right)}^{2}}

MathBot Answer:

Evaluated



x(x−1)(x2+1)2=x(x2+1)2(x−1)\displaystyle \frac{x}{\left(x - 1\right) {\left( {x}^{2} + 1 \right)}^{2}} = \frac{x}{\left(x^{2} + 1\right)^{2} \left(x - 1\right)}

Expanded

x(x−1)(x2+1)2=xx5−x4+2x3−2x2+x−1\frac{x}{\left(x - 1\right) {\left( {x}^{2} + 1 \right)}^{2}} = \frac{x}{x^{5} - x^{4} + 2 x^{3} - 2 x^{2} + x - 1}

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