43.6k views
2 votes
SIMPLE Factoring by Grouping

xa - xb - 2a + 2b

Just looking for a model I could reference to for other problems like this. Please explain thoroughly! ヾ(@^∇^@)ノ

User Caduchon
by
7.7k points

1 Answer

1 vote
Group together the terms that have "like" variables or constants in them. The first 2 terms both have an x, but the second 2 don't, so the first two are grouped together. The second 2 terms, while they do not have a common variable, both have the number 2. So those are grouped together.
(xa - xb) - (2a + 2b)--> x(a-b) - 2(a-b). Now you can actually factor out the like term (a-b) to get this: (a-b)(x-2).
User Adam Lesniak
by
8.8k points

Related questions

1 answer
2 votes
180k views
asked Nov 27, 2024 110k views
Arvin Rezaei asked Nov 27, 2024
by Arvin Rezaei
7.7k points
1 answer
4 votes
110k views