Use the distributive property to express each sum with the GCF factored out.
32+56
(32 + 56)
32 = (1,32), (2,16), (4,8).
56 = (1,56), (2,28), (4,14), (7,8).
CF = 1,2,4,and 8.
GCF = 8.
8(4 + 7)
19
To express the sum 32 + 56 using the distributive property and factoring out the greatest common factor (GCF), we first need to find the GCF of 32 and 56.
The prime factorization of 32 is 2^5, and the prime factorization of 56 is 2^3 * 7. To find the GCF, we take the lowest exponent of each common prime factor, which is 2^3 = 8. Therefore, the GCF of 32 and 56 is 8.
Now, we can express the sum 32 + 56 with the GCF factored out:
32 + 56 = 8 * 4 + 8 * 7
Using the distributive property, we factor out the GCF 8 from both terms:
32 + 56 = 8(4 + 7)
Simplifying further, we have:
32 + 56 = 8 * 11
Therefore, the sum 32 + 56, with the GCF factored out, is equal to 8 * 11.