Question
Simplify:
$a(b - c) + b(c - a) + c(a - b)$

Answer

To simplify, we will use distributive law as follows:​
$a(b - c) + b(c - a) + c(a - b)$
$= ab - ac+ bc - ba + ca - cb$
$= ab - ba - ac + ca + bc - cb$
$= 0$

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