已知a=1,b=1001,求a²-ab/a+b·(a+b/a-b)^2÷a/a -b的值?

问题描述:

已知a=1,b=1001,求a²-ab/a+b·(a+b/a-b)^2÷a/a -b的值?

a²-ab/a+b·(a+b/a-b)^2÷a/a -b
=[a(a-b)/(a+b)]·(a+b/a-b)^2÷(a/a -b)
=[a(a+b)/(a-b)]·(a-b)/a
=a+b
=1002