1 / (a-1) (a-2) + 1 / (a-2) (a-3) + 1 / (a-3) (a-4) упростить выражение с подробным объяснением

Question

Математика

Заина

4 мая, 12:44

1 / (a-1) (a-2) + 1 / (a-2) (a-3) + 1 / (a-3) (a-4) упростить выражение с подробным объяснением

+4

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Айлинь · Answer 1

1 / (a-1) (a-2) + 1 / (a-2) (a-3) + 1 / (a-3) (a-4) =

(a-3) / (a-1) (a-2) (a-3) + (a-1) / (a-1) (a-2) (a-2) + (а-1) / (a-1) (a-3) (a-4) =

(a-3+a-1) / (a-1) (a-2) (a-3) + (a-1) / (a-1) (a-3) (a-4) =

(2a-4) / (a-1) (a-2) (a-3) + (a-1) / (a-1) (a-3) (a-4) =

2 (a-2) / (a-2) (a-1) (a-3) + (a-1) / (a-1) (a-3) (a-4) =

2 / (a-1) (a-3) + (a-1) / (a-1) (a-4) (a-3) =

2 (a-4) / (a-4) (a-1) (a-3) + (a-1) / (a-1) (a-4) (a-3) =

(2a-8 + a - 1) / (a-1) (a-4) (a-3) =

(3a-9) / (a-1) (a-4) (a-3) =

3 (a-3) / (a-1) (a-4) (a-3) =

3 / (a-1) (a-4) =

3 / (a²-4a-a+4) =

3 / (a²-4a+4)