Factorizing 2ma + 4mb + 2mc involves identifying the common factor \(2m\) and factoring it out, resulting in 2m(a + 2b + c).
To factor the expression 2ma + 4mb + 2mc using the greatest common factor (GCF), you need to identify the common factor among the terms and factor it out.
First, observe that each term has a common factor of 2m. Factorizing 2m from each term, you get:
2ma + 4mb + 2mc = 2m(a + 2b + c)
Here, \(2m\) is the greatest common factor, and (a + 2b + c) is the factored expression. This process simplifies the expression and highlights the common factor, making it easier to analyze and work with.
In summary, to factor 2ma + 4mb + 2mc, recognize the common factor among the terms, which is 2m, and factor it out. The resulting factored expression is 2m(a + 2b + c).