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Question
Simplify: a(b − c) + b(c − a) + c(a − b)
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Solution
To simplify, we will use distributive law as follows:
\[a\left( b - c \right) + b\left( c - a \right) + c\left( a - b \right)\]
\[ = ab - ac + bc - ba + ca - cb \]
\[ = ab - ba - ac + ca + bc - cb\]
\[ = 0\]
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