Answer:
7(1 + 6)
Explanation:
Find the GCF of 7 and 42 by listing the factors:
7: 1, 7
42: 1, 2, 3, 6, 7, 14
The numbers in bold show common factors between the numbers. Since 7 is greater than 1, the GCF is 7.
Now, we need to factor the expression (7 + 42).
This means that we need to divide the GCF by both numbers. The quotient will give us the numbers that should be inside of the parentheses.
7/7 = 1
42/7 = 6
Next, put the GCF outside of the parentheses:
7( ? + ?)
Substitute the question marks with the quotients that we found earlier:
7( ? + ?)
7(1 + 6)
Therefore, the expression 7(1 + 6) is the product of the GCF and it is a sum because 1 + 6 are being added together.