Answered

Connect with knowledgeable experts and enthusiasts on IDNLearn.com. Get prompt and accurate answers to your questions from our community of experts who are always ready to help.

Apply the distributive property to factor out the greatest common factor.

[tex]\[ 22c + 33d = \square \][/tex]

Sagot :

GinnyAnsweridn
To factor out the greatest common factor (GCF), we first identify the GCF of the coefficients in the given expression [tex]\(22c + 33d\)[/tex].

Step-by-step solution:

1. Find the GCF of the coefficients:
- The coefficients in the expression are 22 and 33.
- To find the GCF, we look for the largest number that divides both 22 and 33 without any remainder.

- The factors of 22 are: 1, 2, 11, 22.
- The factors of 33 are: 1, 3, 11, 33.
- The common factors of 22 and 33 are: 1, 11.
- Therefore, the greatest common factor is 11.

2. Factor out the GCF from the expression:
- The original expression is [tex]\(22c + 33d\)[/tex].
- We will factor out 11 from both terms.

- Divide each term by the GCF (11):
[tex]\[ \frac{22c}{11} + \frac{33d}{11} = 2c + 3d \][/tex]

3. Write the expression as a product of the GCF and the resulting expression:
- After factoring out 11, the expression can be written as:
[tex]\[ 11 \cdot (2c + 3d) \][/tex]

Thus, the factored form of the expression [tex]\(22c + 33d\)[/tex] is:
[tex]\[ 22c + 33d = 11(2c + 3d) \][/tex]
We appreciate every question and answer you provide. Keep engaging and finding the best solutions. This community is the perfect place to learn and grow together. For dependable answers, trust IDNLearn.com. Thank you for visiting, and we look forward to assisting you again.