Question
Simplify the following:
a(b - c) - b(c - a) - c(a - b)
a(b - c) - b(c - a) - c(a - b)
✓
Answer
a(b - c) - b(c - a) - c(a - b)
= a × b - a × c - b × c + b × a - c × a + c × b
= ab + ab - ac - ac - ab + bc
= 2ab - 2ac
= 2a(b - c)
= a × b - a × c - b × c + b × a - c × a + c × b
= ab + ab - ac - ac - ab + bc
= 2ab - 2ac
= 2a(b - c)
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