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3x² -7x +4 / x²-9x+8 =
3x²-3x-4x+4 / x²-x-8x+8 =
3x(x-1) -4(x-1) / x(x-1) - 8(x-1) =
(x-1)(3x-4) / (x-1)(x-8) =
3x-4 / x-8