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Dekka
@Dekka
August 2022
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(x²-1)(1/x-1 - 1/x+1 -1)=
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svetazuna
(x²-1)*(1/(x-1) - 1/(x+1) -1)
=
=
(x²-1)*( (х+1)/(x²-1) - (х-1)/(x²-1) -(х²-1)/(х²-1) ) =
= (x²-1)*( (х+1 - х+1 - х²+1)/(х²-1) ) =
= (x²-1)*( (3-х²)/(х²-1) ) =
3 - х²
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Answers & Comments
= (x²-1)*( (х+1)/(x²-1) - (х-1)/(x²-1) -(х²-1)/(х²-1) ) =
= (x²-1)*( (х+1 - х+1 - х²+1)/(х²-1) ) =
= (x²-1)*( (3-х²)/(х²-1) ) = 3 - х²