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pq = 3
p³+q³ = (p+q)³-3pq(p+q)
= 4³-3.3.4
= 64-36
= 28
⇒ q = 4 - p
p × q = 3
p(4 - p) = 3
4p - p² = 3
p² - 4p + 3 = 0
(p - 3) (p - 1) = 0
p₁ = 3
p₂ = 1
p = 3
q = 4 - 3 = 1
p³ + q³ =
3³ + 1³ = 27 + 1
= 28