Question

упростите выражение:
$(x + \frac{1}{x - 2} ) \times \frac{ {x}^{2} - 4 }{ {x}^{2} - 2 {x}^{2} + x }$

Answer 1

$(x + \frac{1}{x - 2}) \times \frac{x ^{2} - 4 }{x ^{2} - 2x ^{2} + x } \\ \frac{x \times (x - 2) + 1}{x - 2} \times \frac{(x - 2)(x + 2)}{ - x ^{2} + x } \\ (x ^{2} - 2x + 1) \times \frac{x + 2}{ - x \times (x - 1)} \\ (x - 1)^{2} \times \frac{x + 2}{ - x \times (x - 1)} \\ (x - 1) \times \frac{x + 2}{ - x}$