Question

under what condition p³+q³+r³=3pqr​

Answer 1

Answer:

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Step-by-step explanation:

p³ + q³ + r³ = 3pqr if p + q + r = 0

Answer 2

P+Q+R = 0

=> P+Q= -R (equation 1)

cubing both sides

=> (P+Q)³ = (-R)³

=> P³+Q³+ 3PQ(P+Q) = -R³

=> P³+Q³+3PQ (-R) = -R³. (from equation 1)

=> P³+Q³-3PQR = -R³

=> P³+Q³+R³ = 3PQR