Final answer:
The sum of 25 + 45 using the greatest common factor and the Distributive Property is factored as 5(5 + 9), which is option c. The GCF of 25 and 45 is 5, and using the Distributive Property we factor out the 5 and simplify the expression.
Step-by-step explanation:
The question is asking to use the greatest common factor (GCF) and the Distributive Property to rewrite the sum of 25 + 45 in a factored form. To do this, we need to find the highest number that divides both 25 and 45 with no remainder. This number is 5. Using the Distributive Property, we can factor out the GCF (5) from both terms and express the sum within parentheses. We get:
5(25 ÷ 5 + 45 ÷ 5) = 5(5 + 9)
Thus, the correct option that uses the GCF and the Distributive Property to rewrite the sum is:
c. 5(5 + 9).
It is important to always look for the GCF when factoring expressions to simplify them effectively, and understanding the Distributive Property facilitates breaking down or combining expressions in algebra.