Question

Question #9ac69

Answer 1

Please see below.

Explanation:

`42 = 2*3*7` and `48 = 2*2*2*2*3`

`GCF = 2*3=6`

Note that `42 = 6 xx 7` and `48 = 6 xx 8`, so

`42+48 = 6 xx 7+6 xx 8 = 6xx(7+8) = 6 xx15`

As long as we're here let's finish.

Method 1: (using the distributuve property)
`6 xx (15) = 6xx(10+5) = 6xx10+6xx5=60+30 = 90`

Method 2: (using factoring and the associative property of multiplication)
`6xx15 = (3xx2)xx15 = 3xx(2xx15) = 3xx30 = 90`