Multiple Choice Questions

If p ndash 2q 4 then the value of p3 ndash 8q3 ndash 24pq ndash 64 is ........

Quantitative Aptitude (CUET) Algebra

If p – 2q = 4, then the value of p³ – 8q³ – 24pq – 64 is

-1

p – 2q = 4
On cubing both sides, we get
(p – 2q)³ = (4)³
⇒ p³ – 8q³ – 6pq(p – 2q) = 64
⇒ p³ – 8q³ – 6pq(4) – 64 = 0
⇒ p³ – 8q³ – 24pq – 64 = 0.

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