a-(1/a)=b and b-(1/b)=a then (a+b)²=?
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Step-by-step explanation:
a-1/a= a²-1/a =b
a2-1=ab --A
b-1/b = b²-1/b=a
b²-1=ab --B
from A and B
a²-1 = b²-1
a²-b²=(a+b)(a-b)=0
a=+/-b
if a=b then (a+b)²= (2a)²= 4a²
if a=-b => a+b=0 then (a+b)²=0²=0
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