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16-08-2021
Mathematics

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simplify (a+1/a)^2-(a-1/a)^2

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FancyBun FancyBun

16-08-2021

Answer: 4/a

Explanation:
(a+1/a)^2 - (a-1/a)^2
= (a^2 + 2a + 1)/a^2 - (a^2 - 2a + 1)/a^2
= (a^2 + 2a + 1 - a^2 + 2a - 1)/a^2
= 4a/a^2
= 4/a

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