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\frac{x^{4}-x^{2}-4x-4}{\left(x-2\right)\left(x+1\right)}
Express \frac{\frac{x^{4}-x^{2}-4x-4}{x-2}}{x+1} as a single fraction.
\frac{\left(x-2\right)\left(x+1\right)\left(x^{2}+x+2\right)}{\left(x-2\right)\left(x+1\right)}
Factor the expressions that are not already factored.
x^{2}+x+2
Cancel out \left(x-2\right)\left(x+1\right) in both numerator and denominator.
\frac{x^{4}-x^{2}-4x-4}{\left(x-2\right)\left(x+1\right)}
Express \frac{\frac{x^{4}-x^{2}-4x-4}{x-2}}{x+1} as a single fraction.
\frac{\left(x-2\right)\left(x+1\right)\left(x^{2}+x+2\right)}{\left(x-2\right)\left(x+1\right)}
Factor the expressions that are not already factored.
x^{2}+x+2
Cancel out \left(x-2\right)\left(x+1\right) in both numerator and denominator.