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=(x² + 2x - 3)/(x³ + 3x² - 5x - 9) - (x² + 4x + 3)/(x³ + 3x² - 5x - 9) + (x² - 1)/(x³ + 3x² - 5x - 9)
=( (x² + 2x - 3) - (x² + 4x + 3) + (x² - 1) )/(x³ + 3x² - 5x - 9)
=( (1 - 1 + 1)x² + (2 - 4)x + (-3 - 3 - 1) )/(x³ + 3x² - 5x - 9)
=(x² - 2x - 7)/(x³ + 3x² - 5x - 9)