\(9\left(x-1\right)^2-16\left(x-2\right)^2\)
\(=\left(3x-3\right)^2-\left(4x-8\right)^2\)
\(=\left(3x-3-4x+8\right)\left(3x-3+4x-8\right)\)
\(=\left(-x+5\right)\left(7x-11\right)\)
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