Cho:
$\frac{a}{b-c}+\frac{b}{c-a}+\frac{c}{a-b}=0$
CMR:
$\frac{a}{(b-c)^{2}}+\frac{b}{(c-a)^{2}}+\frac{c}{(a-b)^{2}}=0$
Cho:
$\frac{a}{b-c}+\frac{b}{c-a}+\frac{c}{a-b}=0$
CMR:
$\frac{a}{(b-c)^{2}}+\frac{b}{(c-a)^{2}}+\frac{c}{(a-b)^{2}}=0$
$0=\left(\dfrac{a}{b-c}+\dfrac{b}{c-a}+\dfrac{c}{a-b}\right)\left(\dfrac{1}{b-c}+\dfrac{1}{c-a}+\dfrac{1}{a-b}\right)=\dfrac{a}{(b-c)^{2}}+\dfrac{b}{(c-a)^{2}}+\dfrac{c}{(a-b)^{2}}+\dfrac{a(a-b)+a(c-a)+b(b-c)+b(a-b)+c(c-a)+c(b-c)}{(a-b)(b-c)(c-a)}=\dfrac{a}{(b-c)^{2}}+\dfrac{b}{(c-a)^{2}}+\dfrac{c}{(a-b)^{2}}$
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