Question

Помогите упрастить выражение

Answer 1

Ответ:

$\frac{x + 2}{x ^{2} - 2x + 1 } \times \frac{3x - 3}{ {x}^{2} - 4} - \frac{3}{x - 2} \\ \frac{x + 2}{(x - 1)^{2} } \times \frac{3(x - 1)}{(x - 2)(x + 2)} - \frac{3}{x - 2} \\ \frac{1}{x - 1} \times \frac{3}{x - 2} - \frac{3}{x - 2} \\ \frac{3}{(x - 1)(x - 2)} - \frac{3}{x - 2} \\ \frac{3 - 3(x - 1)}{(x - 1)(x - 2)} \\ \frac{3 - 3x + 3}{(x - 1)(x - 2)} \\ \frac{ - 3x + 6}{(x - 1)(x - 2)} \\ \frac{ - 3(x - 2)}{(x - 1)(x - 2} \\ \frac{ - 3}{x - 1} \\ - \frac{3}{x - 1}$

Answer 2

Объяснение:

х+2 3х-3 3

———— • ——— - ——— =

х²-2х+1 х²-4 х-2

х+2 • 3(х-1) 3

= ————————— - ——— =

(х-1)² • (х-2)(х+2) х-2

3 3

= ————— - ——— =

(х-1)(х-2) х-2

3-3(х-1) 3-3х+3 6-3х

= ————— = —————— = ————— =

(х-1)(х-2) (х-1)(х-2) (х-1)(х-2)

3(2-х) -3(х-2) 3

= ———— = ————— = - ———

(х-1)(х-2) (х-1)(х-2) х-1