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If p - 2q = 4 then the value of p^(3) -...

If p - 2q = 4 then the value of `p^(3) - 8 q^(3) - 24 pq - 64` is

A

2

B

0

C

3

D

-1

Text Solution

Verified by Experts

The correct Answer is:
B
`P-2q =4`
`rArr (P-2q)^(3)=-(4)^(3)`
`rArr P^(3)-8q^(3)-3P xx 2q (P-2q) =64`
`rArr P^(3)-8q^(3)-3Pxx2q(4)=64`
`rArr P^(3) -8q^(3)-24Pq -64=0`
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