Question

Which expression shows 28 + 35 as the product of their greatest common factor and the sum of two whole numbers with no common factor?

A. 7(6 + 3)
B. 9(4 + 3)
C. 7(4 + 5)
D. 9(2 + 5)

Answer 1

the answer is C. because it is the only one that does not contain a common factor

Answer 2

`C. 7(4 + 5)`

Explanation:

we have

`28+35`

we know that
`28=7*4`

and that
`35=7*5`

so the number 7 is their greatest common factor, thus instead of
`28 + 35` we can write the following:

`7*8+7*5`

and taking the common factor out:

`7(4+5)`

we get that the answer that is the product of the greatest common factor (7) and the sum of two whole numers (4+5) is opction C.