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\frac{\left(x^{2}-6x+9\right)\times 99}{\left(11x-33\right)\left(9x-27\right)}
Divide \frac{x^{2}-6x+9}{11x-33} by \frac{9x-27}{99} by multiplying \frac{x^{2}-6x+9}{11x-33} by the reciprocal of \frac{9x-27}{99}.
\frac{99\left(x-3\right)^{2}}{9\times 11\left(x-3\right)^{2}}
Factor the expressions that are not already factored.
1
Cancel out 9\times 11\left(x-3\right)^{2} in both numerator and denominator.
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Limits
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