Task/25884116
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б)
( x/(x-1) - x(x+1) -(x²+1)/(1-x² -1) ) * 1 / (x+1)²=
( x/(x-1) - x(x+1) +(x²+1)/(x² -1) ) * 1 / (x+1)² =
( x² +x - x² +x +x²+1)/(x² -1) * 1 / (x+1)² = (x² +2x+1) /(x²-1) * 1/(x+1)² =
(x+1)² /(x²-1) * 1/(x+1)² = 1 /(x ² -1).
* *1 /(x ² -1) =1/(x-1) (x+1) =( (x+1) - (x -1) ) / 2(x-1)(x+1) =1/2(x-1) -1/2(x+1) * * *