If a^(x-1) = bc, b^(y-1) = ac and c^(z-1) = ab then xy + yz + zx - xyz= ?

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If a^(x-1) = bc, b^(y-1) = ac and c^(z-1) = ab then xy + yz + zx - xyz= ?
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Thank you so much sir..It helped a lot.

worldalicious
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You clever brotha this all reduces to zero

UberHummus
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Nice sir, can you help me to solve, prove that tan72=tan66+tan36+tan6

AbhijitRoy-ubnu