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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