If a+b+c = 3, a²+b²+c² = 5 and a³+b³+c³ = 9; Find the value of abc.
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Step-by-step explanation:
●》a+b+c=3
a=1
b=2
c=0
1 + 2 + 0 = 3
●》a²+b²+c²
a = a² = 1
b = b² = 2
c = c² = 0
(1)² + (2)² + (0)²
1 + 4 + 0 = 5
●》a³ + b³ + c³
a= a³ = 1
b= b³ = 2
c= c³ = 0
(1)³ + (2)³ + (0)³
1 + 8 + 1 = 9
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