Simplify: a(b - c) + b(c - a) + c(a - b) - Vidyadip

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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