Question

If ?= 4-q, prove that p3+q3+12pq=64

Answer 1

$given \: \: \: = > \: p = 4 - q \\ p ^{3 } + q ^{3} + 12pq = 64 \\ LHS \\ p3+q3+12pq \\ (4 - q) ^{3} + q ^{3} + 12(4 - q)q \\ 64 - q ^{3} - 48q + 12q^{2} + q ^{3} + 48q - 12q ^{2} \\ 64 \\ LHS = RHS \:$