To factorize the expression \( 2c - 12 + 6d \), follow these steps:

1. Identify the common factor in all the terms. The terms are \( 2c \), \( -12 \), and \( 6d \).
2. The greatest common factor (GCF) for 2, -12, and 6 is 2.
3. Factor out 2 from each term:

\[
2c - 12 + 6d = 2(c - 6 + 3d)
\]

So, the factorized form of \( 2c - 12 + 6d \) is:

\[
2(c + 3d - 6)
\]

Would you like more details on the steps?

Here are 5 related questions for practice:
1. How would you factor \( 4x + 8y - 12z \)?
2. Can you factor \( 3a - 9 + 6b \)?
3. What is the factorized form of \( 5p + 10q - 15r \)?
4. How would you factor the expression \( 7m - 14n + 21p \)?
5. Factor \( 9x - 18y + 27z \).

**Tip:** Always look for the greatest common factor across all terms before attempting to factor an expression.

Learn how to factorize the algebraic expression 2c - 12 + 6d with a detailed step-by-step solution. This problem covers key algebraic concepts, including factorization and identifying the greatest common factor. Suitable for students in Grades 7-9.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation