化简:(x²-1分之x²+1 )-(x-1分之x-2)÷(x分之x-2)
问题描述:
化简:(x²-1分之x²+1 )-(x-1分之x-2)÷(x分之x-2)
答
(x²-1分之x²+1 )-(x-1分之x-2)÷(x分之x-2)
=(x+1)(x-1)分之(x²+1)-(x-1)分之(x-2)*(x-2)分之x
=(x+1)(x-1)分之(x²+1)-(x-1)分之x
=(x+1)(x-1)分之(x²+1)-(x+1)(x-1)分之x(x+1)
=(x+1)(x-1)分之(x²+1-x²-x)
=(x+1)(x-1)分之(1-x)
=-(x+1)分之1