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$$X = \frac{a - b}{a + b}, Y = \frac{b - c}{b + c}, Z = \frac{c - a}{c + a} \Rightarrow \frac{1 + x}{1 - x}.\frac{1 + y}{1 - y}.\frac{1 + z}{1 - z} =$$
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$$a + b + c$$
$$ab + bc + ca$$
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