Question

simplify a(b-c)+b(c-a)+c(a+b)

Answer 1

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Answer 2

Answer:

a (b- c) + b (c - a) + c (a + b) = 2 b c

Step-by-step explanation:

Given,

a (b- c) + b (c - a) + c (a + b)

a b - a c + b c - b a + c a + b c

( a b = b a, a c = c a, b c = c b)

a b - b a - a c + c a + b c + b c

0 + 0 + 2 b c

=  2 b c

a (b- c) + b (c - a) + c (a + b) = 2 b c