Question

Si (a+b+c)2=576 .calcular el valor de: E=abc+bca+cab

Answer 1

$\bold{Problema. }\text{ Si }(a+b+c)^2=576 \text{. Calcular el valor de } \\ \\ E=\overline{abc}+\overline{bca}+\overline{cab} \\ \\ \bold{Soluci\'on}\\ \\ a+b+c=24\\ \\ E=(100a+10b+c)+(100b+10c+a)+(100c+10a+b)\\ \\ E=111a+111b+111c\\ \\ E=111(a+b+c)\\ \\ E=111(24)\\ \\ \Large\boxed{E=2664}$