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y=\frac{\left(x-2\right)\left(x^{2}+2x+4\right)}{x^{2}+2x+4}
Factor the expressions that are not already factored in \frac{x^{3}-8}{x^{2}+2x+4}.
y=x-2
Cancel out x^{2}+2x+4 in both numerator and denominator.