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Question
If `2"a"+1/(2"a")=8`, find : `16"a"^4+1/(16"a"^4)`
Sum
Solution
`16"a"^4+1/(16"a"^4)=(4"a"^2+1/(4"a"^2))^2-2.4"a"^2 . 1/(4"a"^2)`
= (62)2 − 2
= 3844 − 2
= 3842
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Important Formula of Expansion
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