Question
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Answer
The simplified expression is \( a(6b - 13) \).
Solution
To simplify the expression \( 6ab - 13a \), we can factor out the common term.
1. Identify the common factor in both terms. Here, \( a \) is the common factor.
2. Factor out \( a \):
\[
6ab - 13a = a(6b - 13)
\]
Thus, the simplified expression is:
\[
a(6b - 13)
\]
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Simplify this solution The Deep Dive
This expression is a classic example of a linear combination of two terms, and it can be factored to reveal its underlying structure. Specifically, you can factor out the common term \( a \) from both parts, resulting in \( a(6b - 13) \). This simplification makes it easier to see relationships between \( a \) and \( b \), especially in equations or when applying functions! When working with expressions like these, a common mistake is forgetting to check for any common factors before jumping into more complex operations like addition or subtraction. Always take a moment to factor out shared components first—it can save time and help you solve problems more effectively!
