x^2-2=0,求代数式(x-1)^2/(x^2-1)+x^2/(x+1)

问题描述:

x^2-2=0,求代数式(x-1)^2/(x^2-1)+x^2/(x+1)

x^2-2=0
x^2=2

(x-1)^2/x^2-1 + x^2/x+1
=[(x-1)²+x²(x-1)]/(x²-1)
=(x²-2x+1+2x-2)/(2-1)
=x²-1
=2-1
=1

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