Question

a+b+c=6 tim GTNN a^2/(a+b) + b^2/(c+a) + c^2/(b+c)

Answer 1

\(A=\frac{a^2}{a+b}+\frac{b^2}{c+a}+\frac{c^2}{b+c}\ge\frac{\left(a+b+c\right)^2}{2\left(a+b+c\right)}=\frac{a+b+c}{2}=\frac{6}{2}=3..\)