1.

यदि `2p+1/p=4` है तो `p^(3)+1/(8p^(3))` का मान ज्ञात करें?A. 4B. 5C. 8D. 15

Answer» Correct Answer - B
`2p+1/p=4`
Divide by 2
`(2p)/2+1/(2p)=4/2`
`p+1/(2p)=2`
Take cube on both sides
`implies (p+1/(2p))^(3)=(2)^(3)`
`p^(3)+1/(8p^(3))+3xxpx1/(2p)(p+1/(2p))=8`
`p^(3)+1/(8p^(3))+3/2xx2=8`
`p^(3)+1/(8p^(3))=8-3=5`


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