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If 3"X"-1/(3"X")=5, Find : 81"X"^4+1/(81"X"^4) - Mathematics

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Question

If `3"x"-1/(3"x")=5`, find : `81"x"^4+1/(81"x"^4)`

Sum

Solution

`81"x"^4+1/(81"x"^4)=(9"x"^2+1/(9"x"^2))^2-2`

= (27)2 − 2

= 729 − 2

= 727

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Important Formula of Expansion
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Chapter 12: Identities - Exercise 12 (D) [Page 155]

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Selina Concise Mathematics [English] Class 8 ICSE
Chapter 12 Identities
Exercise 12 (D) | Q 8.2 | Page 155
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