To factor out the greatest common factor (GCF) from the expression [tex]\(18d + 12\)[/tex], follow these steps:
1. Identify the greatest common factor:
- The coefficients in the expression are 18 and 12.
- The factors of 18 are 1, 2, 3, 6, 9, and 18.
- The factors of 12 are 1, 2, 3, 4, 6, and 12.
- The greatest common factor (GCF) of 18 and 12 is 6.
2. Rewrite each term as a product of the GCF and another term:
- [tex]\(18d\)[/tex] can be written as [tex]\(6 \cdot 3d\)[/tex].
- [tex]\(12\)[/tex] can be written as [tex]\(6 \cdot 2\)[/tex].
3. Factor out the GCF from the expression:
- By factoring out the 6, the expression becomes:
[tex]\[
18d + 12 = 6 \cdot 3d + 6 \cdot 2
\][/tex]
- Apply the distributive property to factor out the 6:
[tex]\[
18d + 12 = 6(3d + 2)
\][/tex]
So, the expression [tex]\(18d + 12\)[/tex] factored using the distributive property is:
[tex]\[
18d + 12 = 6(3d + 2)
\][/tex]
