Question

a/b + b/a = 2 , then find (a/b) ^100 - (b/a) ^100​

Answer 1

Step-by-step explanation:

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Answer 2

Answer:

(a/b)^100 - (a/b)^100 =0

Step-by-step explanation:

a/b+b/a=2

=>a^2+b^2/ab=2

=>a^2+b^2=2ab

=>a^2+b^2-2ab=0

=>(a-b)^2=0

.•.a-b=√0=0

Now,

(a/b)^100-(a/b)^100

= (a/b-b/a)^100

=a^2-b^2/ab

=(a+b)(a-b) /ab

=(a+b) x 0/ab

=0

hope it will help you