Final answer:
The equivalent expression for 105 + 35m after applying the distributive property and the greatest common factor is 35(3 + m).
Step-by-step explanation:
To apply the distributive property and the greatest common factor (GCF) to write an equivalent expression for 105 + 35m, we must first find the GCF of the two terms. The GCF of 105 and 35 is 35. We can then factor out the GCF and use the distributive property to rewrite the expression.
So, we get:
35(3) + 35(m) = 35(3 + m).
Thus, the equivalent expression is 35(3 + m).