Which expression shows the sum (7 + 42) rewritten as a product of the GCF and a sum

7 (1 + 6)

Step-by-step 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.