オリジナル
a+b+c,a3+b3+c3-3abc
wolframalphaで
(1)
もしかしたら、次の入力がまちがっているかもしれません。
(2)
省略
(3)
整数解の数18
18÷(321)=3
{
{a == -2, b == 2, c == 3},
{a == -2, b == 3, c == 2},
{a == -1, b == 0, c == 4},
{a == -1, b == 4, c == 0},
{a == 0, b == -1, c == 4},
{a == 0, b == 4, c == -1},
{a == 2, b == -2, c == 3},
{a == 2, b == 3, c == -2},
{a == 3, b == -2, c == 2},
{a == 3, b == 2, c == -2},
{a == 4, b == -1, c == 0},
{a == 4, b == 0, c == -1},
{a == 6, b == 7, c == 8},
{a == 6, b == 8, c == 7},
{a == 7, b == 6, c == 8},
{a == 7, b == 8, c == 6},
{a == 8, b == 6, c == 7},
{a == 8, b == 7, c == 6}
}
sympyで
(勉強中)