Use the distributive property to express each sum with the GCF factored out.
32+56
32+56 = 8(4+7)
To express the sum 32 + 56 using the distributive property and factoring out the Greatest Common Factor (GCF), we need to find the GCF of the numbers 32 and 56 first.
The prime factorization of 32 is 2 * 2 * 2 * 2 * 2, which can be written as 2^5.
The prime factorization of 56 is 2 * 2 * 2 * 7, which can be written as 2^3 * 7.
The GCF of 32 and 56 is the product of the common prime factors raised to their lowest power. In this case, the common factor is 2 because it appears with the lowest exponent in both factorizations.
Therefore, the GCF of 32 and 56 is 2^3, which is equal to 8.
Now, we can rewrite the sum 32 + 56 as follows:
32 + 56 = (8 * 4) + (8 * 7)
Using the distributive property, we can factor out 8 from each term:
32 + 56 = 8 * (4 + 7)
Simplifying the expression within the parentheses:
32 + 56 = 8 * 11
So, using the distributive property and factoring out the GCF, the sum 32 + 56 can be expressed as 8 * 11.