Strange numbers

Algebra Level 5

Let \(a\), \(b\), and \(c\) be non-zero real numbers such that

\[(ab+bc+ca)^3 = abc (a+b+c)^3.\]

Which of the following is definitely true about \(a\), \(b\) and \(c\)? \[\]

Relevant wikis:

×

Problem Loading...

Note Loading...

Set Loading...