Solve frac{x^{3}+x^{2}-x-1}{(x+1)^3}*x^3+1/x^3-2x^2+2x-1

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

Evaluate

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Short Solution Steps

Factor the expressions that are not already factored in \frac{x^{3}+x^{2}-x-1}{\left(x+1\right)^{3}}.

$$\frac{\left(x-1\right)\left(x+1\right)^{2}}{\left(x+1\right)^{3}}\times \frac{x^{3}+1}{x^{3}-2x^{2}+2x-1}$$

Cancel out \left(x+1\right)^{2} in both numerator and denominator.

$$\frac{x-1}{x+1}\times \frac{x^{3}+1}{x^{3}-2x^{2}+2x-1}$$

Factor the expressions that are not already factored in \frac{x^{3}+1}{x^{3}-2x^{2}+2x-1}.

$$\frac{x-1}{x+1}\times \frac{\left(x+1\right)\left(x^{2}-x+1\right)}{\left(x-1\right)\left(x^{2}-x+1\right)}$$

Cancel out x^{2}-x+1 in both numerator and denominator.

$$\frac{x-1}{x+1}\times \frac{x+1}{x-1}$$

Multiply \frac{x-1}{x+1} times \frac{x+1}{x-1} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\left(x-1\right)\left(x+1\right)}{\left(x+1\right)\left(x-1\right)}$$

Cancel out \left(x-1\right)\left(x+1\right) in both numerator and denominator.

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Factor

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