Maximum Value
Algebra
Level
4
\(a,b,c\) are non-negative real numbers satisfying \(a+b+c=1\).
\(\) The maximum value of
\(ab+bc+ca-2abc\)
can be written as \(\frac{m}{n}\) ; where \( m,n\) are relatively prime. Find \(m+n\).
by
Fahim Shahriar Shakkhor