Evaluate
x^{2}+2x+4
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x^{2}+2x+4
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1\times \frac{\left(x-2\right)\left(x^{2}+2x+4\right)}{x-2}
Factor the expressions that are not already factored in \frac{x^{3}-8}{x-2}.
1\left(x^{2}+2x+4\right)
Cancel out x-2 in both numerator and denominator.
x^{2}+2x+4
Use the distributive property to multiply 1 by x^{2}+2x+4.
1\times \frac{\left(x-2\right)\left(x^{2}+2x+4\right)}{x-2}
Factor the expressions that are not already factored in \frac{x^{3}-8}{x-2}.
1\left(x^{2}+2x+4\right)
Cancel out x-2 in both numerator and denominator.
x^{2}+2x+4
Use the distributive property to multiply 1 by x^{2}+2x+4.
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