Respuesta :

The greatest common factor is 6. It is the highest number that can go into both of them evenly.


Since each term has a different variable, you cannot factor either of those out.


Taking the 6 out results in the following:


6(3x + y)

The expression after factoring 18x + 6y using the common factor is

6(3x + y)

The given expression is:

18x  +  16y

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

The factors of 6y = 1, 2, 3, 6, y, 2y, 3y, and 6y

The common factors of 18x and 6y  = 1, 2, 3, and 6

Greatest Common Factor of 18x and 6y = 6

The expression 18x + 6y can therefore be factored by factoring out 6 from the expression

18x  +  6y   =  6(3x  +  y)

The expression after factoring 18x + 6y using the common factor is 6(3x + y)

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