Step-by-step explanation:
Find the Greatest Common Factor (GCF).
[tex]gcf = 2(a + b)[/tex]
Factor out the GCF.
[tex]2(a + b)( \frac{2(a + b)}{2(a + b)} + \frac{4m(a + b)}{2(a + b)} [/tex]
now, Simplify each term in parentheses.
[tex]2(a + b)(1 + 2m)[/tex]
hence, if we factor out the GCF (greatest common factor), we get the answer 2 (a + b) (1 + 2m).