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If 2"A"+1/(2"A")=8, Find : 16"A"^4+1/(16"A"^4) - Mathematics

Sum

If `2"a"+1/(2"a")=8`, find : `16"a"^4+1/(16"a"^4)`

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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

Concept: Important Formula of Expansion
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APPEARS IN

Selina Concise Mathematics Class 8 ICSE
Chapter 12 Identities
Exercise 12 (D) | Q 7.2 | Page 155
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