Final answer:
The greatest common factor of 40f+30 is 10. To factor the expression, divide both terms by the GCF (10) to get 10(4f + 3).
Step-by-step explanation:
To apply the distributive property to factor out the greatest common factor of the expression 40f+30, we need to first find the greatest common factor (GCF) of 40 and 30. The GCF of 40 and 30 is 10. Now we divide both terms in the expression by 10 and write the factored expression.
40f ÷ 10 = 4f
30 ÷ 10 = 3
Therefore, the expression factored by GCF is:
10(4f + 3)