Question

Find the minimum value of (a^2+a+1)(b^2 +b+1)(c^2+c+1)/3abc​

Answer 1

Step-by-step explanation:

$\frac{( {a}^{2} + a)( {b}^{2} + b)( {c}^{2} + c) }{3abc}$

$a(a + 1)b(b + 1)c(c + 1) \times \frac{1}{3abc}$

$\frac{(a + 1)(b + 1)(c + 1)}{3}$