Answer:
B, C and E
Explanation:
Given the expression: 12x+18xy-24y
Factors of 12x=1,2,3,4,6,12 and x
Factors of 18xy=1,2,3,6,9,18,x and y.
Factors of 24y=1,2,3,4,6,8,12,24 and y.
Therefore the following options hold.
(B)The factors common to 12x and 18xy are 1, 2, 3, 6, and x.
(C)The factors common to 12x and 24y are 1, 2, 3, 4, 6, and 12.
Next:
12x+18xy-24y=6(2x+3xy-4y)
Therefore:
(E)The GCF of the expression is 6.
Options B, C and E holds.