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)
答
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
望采纳,祝学习进步
不懂可以追问