Question #9ac69

1 Answer
Jan 2, 2018

Answer:

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#