Evaluate
\frac{-2x^{2}+7x-2}{\left(x-2\right)^{3}}
Expand
\frac{-2x^{2}+7x-2}{\left(x-2\right)^{3}}
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\frac{-2\left(x-2\right)\left(x-\left(-\frac{1}{4}\sqrt{33}+\frac{7}{4}\right)\right)\left(x-\left(\frac{1}{4}\sqrt{33}+\frac{7}{4}\right)\right)}{\left(x-2\right)^{4}}
Factor the expressions that are not already factored.
\frac{-2\left(x-\left(-\frac{1}{4}\sqrt{33}+\frac{7}{4}\right)\right)\left(x-\left(\frac{1}{4}\sqrt{33}+\frac{7}{4}\right)\right)}{\left(x-2\right)^{3}}
Cancel out x-2 in both numerator and denominator.
\frac{-2x^{2}+7x-2}{x^{3}-6x^{2}+12x-8}
Expand the expression.
\frac{-2\left(x-2\right)\left(x-\left(-\frac{1}{4}\sqrt{33}+\frac{7}{4}\right)\right)\left(x-\left(\frac{1}{4}\sqrt{33}+\frac{7}{4}\right)\right)}{\left(x-2\right)^{4}}
Factor the expressions that are not already factored.
\frac{-2\left(x-\left(-\frac{1}{4}\sqrt{33}+\frac{7}{4}\right)\right)\left(x-\left(\frac{1}{4}\sqrt{33}+\frac{7}{4}\right)\right)}{\left(x-2\right)^{3}}
Cancel out x-2 in both numerator and denominator.
\frac{-2x^{2}+7x-2}{x^{3}-6x^{2}+12x-8}
Expand the expression.
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Limits
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