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Пандора19
@Пандора19
July 2022
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Упростите выражение:
х - 1-x^2 . (1/(x-1)^2 - x/1-x^2)
1-x 1+x^2
Прикреплена картинка, там всё понятней:)
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sedinalana
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1/(1-x²)-x/[(1-x)(1+x)]=(1+x-x+x²)/[(1-x)²(1+x)]=(1+x²)/[(1-x)(1+x)]
2)(1-x)(1+x)/(1+x²*(1+x²)/[(1-x)(1+x)]=1/(1-x)
3)x/(1-x)-1/(1-x)=(x-1)/(1-x)=-1
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Answers & Comments
Verified answer
1/(1-x²)-x/[(1-x)(1+x)]=(1+x-x+x²)/[(1-x)²(1+x)]=(1+x²)/[(1-x)(1+x)]2)(1-x)(1+x)/(1+x²*(1+x²)/[(1-x)(1+x)]=1/(1-x)
3)x/(1-x)-1/(1-x)=(x-1)/(1-x)=-1