Factor 12y + 6 using the GCF.(1 point)

1 answer

To factor the expression \( 12y + 6 \) using the greatest common factor (GCF), you need to find the largest number that can divide both coefficients of the terms.

The GCF of 12 and 6 is 6, since 6 is the largest number that can divide both numbers without leaving a remainder.

Now, you take the GCF and factor it out of the expression:

\( 12y + 6 = 6(2y) + 6(1) \)

Combining the terms inside the parentheses, you get:

\( 6(2y + 1) \)

Thus, the expression \( 12y + 6 \) factored using the GCF is \( 6(2y + 1) \).
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