Question

If ab = bc = ab, then b + c always equals

Answer 1

ab=bc
a=bc/b
a=c
b+c will always equal to b+a as c=a
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Answer 2

Given

ab = bc = ab

Find out  b + c always equals

To proof

as  given

ab = bc = ab

take first two terms

ab = bc

cancel out the b

we get

a = c

take last  two terms

bc = ab

cancel out the b

c = a

thus  b + c always equals to a + c .

Hence proved