Question

What the Factor 18c+81d

Answer 1

You would factor this as 9(2c+9d)

Explanation:

• First, rewrite whole numbers as their prime factorizations. This is the #1 rule with factoring.

`81 = 9 * 9\\18 = 2 * 9`

• Second, you rewrite the equation using these now factorized integers.

`18c+81d\\=2 * 9c+9* 9d`

• Third, you factor out the number 9. This allows for further simplification.

`2 * 9c + 9 * 9d\\=9\left(2c+9d\right)`

Hope this helps!