Помогите с решением: Упростить выражение (x^2 - 1) * ( 1/(x-1) - 1/(x+1) - 1 ). Created by stanstan199. matematika-ru

=(х-1)(х+1)*() = (x-1)(x+1)*()= (x-1)(x+1)*=2-x²+1 =3-x²

(x+1) - 1 )...

July 2022 1 9 Report

Помогите с решением:
Упростить выражение (x^2 - 1) * ( 1/(x-1) - 1/(x+1) - 1 )

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математик2011 =(х-1)(х+1)*( $\frac{1}{x-1} - \frac{1}{x+1} -1$ ) = (x-1)(x+1)*( $\frac{x+1-(x-1)-(x-1)(x+1)}{(x-1)(x+1)}$ )= (x-1)(x+1)* $\frac{x+1-x+1- x^{2} +1}{ x^{2} -1}$ =2-x²+1 =3-x²

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