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If P + 1 P = 6 ; Find : P 3 + 1 P 3 - Mathematics

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Question

If `"p"  + (1)/"p" = 6`; find : `"p"^3 + (1)/"p"^3`

Sum

Solution

`("p" + 1/"p")^3`

= `"p"^3 + (1)/"p"^3 + 3 ("p" + 1/"p")`

⇒ 216 = `"p"^3 + (1)/"p"^3 + 3(6)`

⇒ `"p"^3 + (1)/"p"^3`
= 216 - 18
= 198.

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Chapter 4: Expansions - Exercise 4.2

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Frank Mathematics [English] Class 9 ICSE
Chapter 4 Expansions
Exercise 4.2 | Q 10.3
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