Final answer:
To express sums as products, find the Greatest Common Factor (GCF) of each sum and factor it out, then use the Distributive Property to write the expression as a product.
Step-by-step explanation:
To express the sums 20+35, 18+27, and 64+40 as products using the Greatest Common Factor (GCF) and the Distributive Property, we need to find the GCF of each pair of numbers and factor it out.
- For 20+35, the GCF is 5, so we can write it as 5(4+7).
- For 18+27, the GCF is 9, so we can write it as 9(2+3).
- For 64+40, the GCF is 8, so we can write it as 8(8+5).
By applying the Distributive Property, we are effectively grouping the common factor outside of the parentheses and leaving the sum of the divided terms inside.