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