Câu hỏi 104
Chứng minh rằng $$
\frac{a^3(a+c)(a+b)}{(a-c)(a-b)} + \frac{b^3(b+a)(b+c)}{(b-a)(b-c)} + \frac{c^3(c+b)(c+a)}{(c-b)(c-a)} = abc
$$ cho tất cả $a$, $b$, $c$ sao cho $a+b+c=0$.
\frac{a^3(a+c)(a+b)}{(a-c)(a-b)} + \frac{b^3(b+a)(b+c)}{(b-a)(b-c)} + \frac{c^3(c+b)(c+a)}{(c-b)(c-a)} = abc
$$ cho tất cả $a$, $b$, $c$ sao cho $a+b+c=0$.