Question

Which statements about the factors of the terms in the expression 12x+18xy-24y are true? Check ALL that apply/

1.The factors common to 12x and 18xy are 1, 2, 3, 6, x, and y.
2.The factors common to 12x and 18xy are 1, 2, 3, 6, and x.
3.The factors common to 12x and 24y are 1, 2, 3, 4, 6, 12, x, and y.
4.The factors common to 12x and 24y are 1, 2, 3, 4, 6, and 12.
5,The factors common to 18xy and 24y are 1, 2, 3, 6, x, and y.
6,The factors common to 18xy and 24y are 1, 2, 3, 6, and y.
7,The GCF of the expression is 6xy.
8,The GCF of the expression is 6.

Answer 1

The GCF of the expression 12x+18xy-24y is 6

Common Factors of Expressions

The given expression is:

12x + 18xy - 24y

The factors of 12x = 1, 2, 3, 4, 6, 12, x, 2x, 3x, 4x, 6x, 12x

The factors of 18xy = 1, 2, 3, 6, 9, 18, x, 2x, 3x, 6x, 9x, 18x, xy, 2xy, 3xy, 6xy, 9xy, 18xy

The factors of 24y = 1, 2, 3, 4, 6, 8, 12, 24, y, 2y, 3y, 4y, 6y, 8y, 12y, 24y

Common factors of 12x and 18xy = 1, 2, 3, 6, x, 2x, 3x, and 6x

Common factors of 12x and 24y = 1, 2, 3, 4, 6, 12

Common factors of 18xy and 24y = 1, 2, 3, 6, y, 2y, 3y, 6y

The GCF of the expression = 6

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