If ab + c = a(b + c), which of the following must be true?
If ab + c = a(b + c), which of the following must be true?
Answer/Solution
a = 1 or c = 0
Steps/Work
ab + c = ab + ac
c = ac
case 1: c not= 0, a = c/c = 1
case 2: c = 0, 0 = a0 = 0
Combining 2 cases: a = 1 or c =0
E. is the answer.
c = ac
case 1: c not= 0, a = c/c = 1
case 2: c = 0, 0 = a0 = 0
Combining 2 cases: a = 1 or c =0
E. is the answer.