If P - Q = -1 and Pq = -12, Find P3 - Q3

If p - q = -1 and pq = -12, find p³ - q³

Sum

p - q = -1, pq = -12
(p - q)³ = p³- q³ - 3pq (p - q)
⇒ (-1)³ = p³ - q³ - 3(-12) (-1)
⇒ p³ - q³
= -14 + 36
= 35.

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