Practice! #3

Algebra Level 5

\[\dfrac{a^{3}}{b+c+d}+\dfrac{b^{3}}{a+c+d}+\dfrac{c^{3}}{a+b+d}+\dfrac{d^{3}}{a+b+c}\] If \(ab+bc+cd+da=1\) and \(a,b,c,d\) are non-negative real number and the expression above can be expressed as \(\dfrac{m}{n}\) and \(m,n\) are coprime positive integer. What is the minimum value of \(m+n\)?

×

Problem Loading...

Note Loading...

Set Loading...