Expression
my solution = or could also be
The book lists the solution as , are they both correct? And how do I know what to factor out to get consistent numbers with the book? In general I always factor out the largest possible number, in this case 14.
Finding the Greatest Common Factor(GCF), as you did, is great and will yield the most simplified version of the expression. As you pointed out the author did not completely factor out the expression and did not utilize the GCF(14) as you did.
So you may continue to factor it , factor out 2 and get
Good job