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

Question

Simplify the following:
a(b - c) + b(c - a) + c(a - b)

✓

Answer

a(b - c) + b(c - a) + (a - b)
= a × b - a × c + b × c - b × a + c × a - c × b
= ab - ac + bc - ab + ac - bc
= 0

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