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\frac{\left(8-x\right)\left(3x-9\right)}{\left(6x-18\right)\left(2x-16\right)}
Multiply \frac{8-x}{6x-18} times \frac{3x-9}{2x-16} by multiplying numerator times numerator and denominator times denominator.
\frac{3\left(x-3\right)\left(-x+8\right)}{2\times 6\left(x-8\right)\left(x-3\right)}
Factor the expressions that are not already factored.
\frac{-3\left(x-8\right)\left(x-3\right)}{2\times 6\left(x-8\right)\left(x-3\right)}
Extract the negative sign in 8-x.
\frac{-1}{2\times 2}
Cancel out 3\left(x-8\right)\left(x-3\right) in both numerator and denominator.
\frac{-1}{4}
Multiply 2 and 2 to get 4.
-\frac{1}{4}
Fraction \frac{-1}{4} can be rewritten as -\frac{1}{4} by extracting the negative sign.