If p+q=10 and pq =21, find 3 (p^2 + q^2).
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Step-by-step explanation:
Given p + q = 12.
On cubing both sides, we get
(p + q)^3 = (12)^3
p^3 + q^3 + 3pq( p +q) = 1728
p^3 + q^3 + 3 * 27(12) = 1728
p^3 + q^3 + 972 = 1728
p^3 + q^3 = 1728 - 972
p^3 + q^3 = 756.
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this is your answer
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