(Rational expression)
Simplify:
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Answer:
Step-by-step explanation:
2) a(a + b) + b(a - b) - 2ab / a² - b²
= a² + ab + ab - b² - 2ab / a² - b²
= a² - b² / a² - b²
= 1
3) [x - 1/(x - 1)(x - 2)] + [x - 2/(x -2)(x - 3)]
= (1 / x - 2) + (1 / x - 3)
= x - 3 + x - 2 / (x - 2)(x - 3)
= 2x - 5 / x² - 5x + 6