Byron wants to use the distributive property to rewrite the addition problem shown so that the numbers left in the parentheses have no common factor except 1. (48 + 36) Which is an equivalent expression that has numbers in the parentheses whose only common factor is 1? A. 4(12 + 9) B. 2(24 + 18) C. 12(4 + 3) D. 36(12 + 1)
The distributive property states that for any numbers a, b, and c, a(b + c) = ab + ac.
To rewrite the expression (48 + 36) using the distributive property so that the numbers left in the parentheses have no common factor except 1, we can factor out the greatest common factor of the numbers in the parentheses.
The greatest common factor of 48 and 36 is 12.
So, we can rewrite the expression as 12(48/12 + 36/12).
Simplifying further, we get 12(4 + 3).
Therefore, the equivalent expression that has numbers in the parentheses whose only common factor is 1 is 12(4 + 3).
The correct answer is C. 12(4 + 3).