Question

Factor: 8ab - 16ac + 12a

A)4a(2b - 4c + 3)B)4a(2b - 4c + 3a)C)4a(2b + 4c + 3)D)4a(2b - 4c - 3)

Answer 1

The greatest common factor is 4a

the answer is 4a(2b - 4c + 3)

Its A.

Answer 2

The GCF we factor out is 4a

8ab = 4a*2b
16ac = 4a*4c
12a = 4a*3

Each term has been factored so that 4a is a factor

Using those factorizations, we can use the distributive property in reverse
8ab - 16ac + 12a = 4a*2b - 4a*4c + 4a*3
8ab - 16ac + 12a = 4a*(2b - 4c + 3)

Answer is choice A