x^2-2=0,求代数式(x-1)^2/（x^2-1）+x^2/（x+1）

Question

x^2-2=0,求代数式(x-1)^2/（x^2-1）+x^2/（x+1）

Answer 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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