If a,b,c are all positive, then the minimum value of the expression (a + b + c)(b² + b + 1)(c² + c + 1) / (abc) is
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Answered by
0
Answer:
the least value of a,b,c is 1
Step-by-step explanation:
a+b+c = 1+1+1 = 3 ↓
b²+b+1 = 1²+1+1=3 >. 27
c²+c +1 = 1²+1+1 =3 ↑
abc = 1
Answered by
3
Answer:
27
Step-by-step explanation:
The least possible value of a, b, c is 1
∴ a = b = c = 1
(a + b + c) (b² + b + 1) (c² + c + 1) / abc
= (1 + 1 + 1) (1² + 1 + 1) (1² + 1 + 1)/1
= 3 × 3 × 3
= 27
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