-(2m%2B6n).jpeg "(11m-7n)-(2m+6n)")
Simplifying Algebraic Expressions: (11m - 7n) - (2m + 6n)
This article will guide you through simplifying the algebraic expression (11m - 7n) - (2m + 6n).
Understanding the Expression
The expression consists of two sets of terms enclosed in parentheses:
- (11m - 7n): This set contains two terms, 11m and -7n.
- (2m + 6n): This set also contains two terms, 2m and 6n.
The minus sign between the parentheses indicates that we need to subtract the second set of terms from the first.
Simplifying the Expression
To simplify the expression, we will follow these steps:
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Distribute the negative sign: The negative sign in front of the second set of parentheses means we multiply each term inside the parentheses by -1.
(11m - 7n) - (2m + 6n) = 11m - 7n - 2m - 6n
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Combine like terms: Combine the m terms and the n terms separately.
11m - 2m - 7n - 6n = 9m - 13n
The Simplified Expression
Therefore, the simplified form of the expression (11m - 7n) - (2m + 6n) is 9m - 13n.
Key Points
- Remember to distribute the negative sign.
- Combine like terms only.
- The order of operations is important.
- Practice makes perfect! The more you work with algebraic expressions, the more confident you will become.