Which ONE of the following represents the complete factorization of:2(3x+1)^(7) - 16x(3x+1)^6 a) 2(3x+1)^(6)(1+11x) b) 2(3x+1)^(6)(1-5x) c) 2(3x+1)^(6)(1-4x) d) 2(3x+1)^(6)(1-11…

Question

Which ONE of the following represents the complete factorization of:
`2(3x+1)^(7) - 16x(3x+1)^6`

a)
`2(3x+1)^(6)(1+11x)`
b)
`2(3x+1)^(6)(1-5x)`
c)
`2(3x+1)^(6)(1-4x)`
d)
`2(3x+1)^(6)(1-11x)`
e)
`2(3x+1)(1-4x)`

The answer is b but I don't know the method of how to figure this out.

Answer 1

Steps to solve the problem.

1) Find the Greatest Common Factor (GCF)

2) Factor out the GCF (Write the GCF first. Then, in parentheses, divide each term by the GCF.)

3) Simplify each term in parentheses

Answer 2

i hope this helps you