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

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

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