If $$p- 2q = 4$$, then the value of $$p^{3} - 8q^{3} - 24pq - 64$$ is :
Expression : $$p- 2q = 4$$
Cubing both sides, we get :
=> $$(p - 2q)^3 = 4^3$$
=> $$p^3 - 8q^3 - 6pq(p - 2q) = 64$$
=> $$p^3 - 8q^3 - 24pq = 64$$
=> $$p^3 - 8q^3 - 24pq - 64 = 0$$
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