先化简 再求值a的平方-1分之a-2÷(1-a-1分之2a-3)其中,a的平方,a-1是分母

问题描述:

先化简 再求值
a的平方-1分之a-2÷(1-a-1分之2a-3)其中,a的平方,a-1是分母

=(a-2)/(a+1)(a-1)÷(a-1-2a+3)/(a-1)
=(a-2)/(a+1)(a-1)×(a-1)/(2-a)
=-1/(a+1)


(a-2)/(a²-1)÷[1-(2a-3)/(a-1)]
=(a-2)/(a-1)(a+1)÷[(a-1)/(a-1)-(2a-3)/(a-1)]
=(a-2)/(a-1)(a+1)÷(2-a)/(a-1)
=-(2-a)/(a-1)(a+1)×(a-1)/(2-a)
=-1/(a+1)