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Question
Simplify: a(b − c) − b(c − a) − c(a − b)
Solution
To simplify, we will use distributive law as follows:
\[a\left( b - c \right) - b\left( c - a \right) - c\left( a - b \right)\]
\[ = ab - ac - bc + ba - ca + cb\]
\[ = ab + ba - ac - ca - bc + cb\]
\[ = 2ab - 2ac\]
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