Question

Which expression uses the greatest common factor and the distributive property to rewrite the sum 7 + 75

Answer 1

`75 + 45`
`= 15(3 + 5)`

Explanation:

Given

`75 + 45` -- Corrected

Required

Use the GCF to write it as a distributive property

First, we find the GCF of 75 and 45

`45 = 3 * 3 * 5`

`75 = 3 * 5 * 5`

The common factor is:

`GCF = 3 * 5`

`GCF = 15`

So,
`75 + 45` becomes

`75 + 45`
`= 15 * 3 + 15 * 5`

Factorize

`75 + 45`
`= 15(3 + 5)`

Hence, the sum has been rewritten as
`15(3 + 5)`