Factor 
\[140c+28-14a\] to identify the equivalent expressions.
Choose 2 answers:


We can begin factoring the expression:

\[
140c + 28 - 14a
\]

### Step 1: Identify the greatest common factor (GCF)
The coefficients are \(140\), \(28\), and \(-14\). The greatest common factor of these numbers is \(14\).

### Step 2: Factor out the GCF of \(14\)

\[
140c + 28 - 14a = 14(10c + 2 - a)
\]

This is the factored form of the expression: \(14(10c + 2 - a)\).

### Equivalent expressions
From this, you can choose two of the following equivalent expressions:

1. \( 14(10c + 2 - a) \)
2. \( 14(-a + 10c + 2) \)
   
Both represent the factored form.

Would you like further clarification on any part of the factoring process? Here are some related questions:

1. How do we find the greatest common factor (GCF) of multiple terms?
2. Can you explain how to factor more complex expressions?
3. Why does factoring help in simplifying algebraic expressions?
4. What are the benefits of expressing equations in factored form?
5. How can we apply this technique to quadratic expressions?

**Tip**: Always look for common factors in both numbers and variables when factoring!

Factor [140c + 28 - 14a] to identify the equivalent expressions. Choose 2 answers:

Discover how to factor the algebraic expression 140c + 28 - 14a by identifying the greatest common factor (GCF) and simplifying it. This step-by-step guide is suitable for students in Grades 6-8, covering key algebra concepts like factoring and the GCF theorem.

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