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:
by
Sharky Kesa