$$\frac { 1 } { b - c } - \frac { b + c } { b ^ { 2 } - c ^ { 2 } }$$
$0$
$$\frac{1}{b-c}-\frac{b+c}{\left(b+c\right)\left(b-c\right)}$$
$$\frac{1}{b-c}-\frac{1}{b-c}$$
$$0$$
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