%E2%88%923(2m%E2%88%925)-difference.jpeg "(4m+9)−3(2m−5) Difference")
Simplifying the Expression (4m + 9) - 3(2m - 5)
This article will guide you through simplifying the expression (4m + 9) - 3(2m - 5). We will break down the steps involved in simplifying this expression using the order of operations (PEMDAS/BODMAS) and the distributive property.
Understanding the Order of Operations (PEMDAS/BODMAS)
Before we start simplifying, let's quickly recap the order of operations:
- Parentheses (or Brackets)
- Exponents (or Orders)
- Multiplication and Division (from left to right)
- Addition and Subtraction (from left to right)
Simplifying the Expression
1. Distribute the -3:
First, we need to distribute the -3 to the terms inside the parentheses:
(4m + 9) - 3(2m - 5) = 4m + 9 - 6m + 15
2. Combine Like Terms:
Now, combine the 'm' terms and the constant terms:
4m + 9 - 6m + 15 = (4m - 6m) + (9 + 15)
3. Final Simplification:
Finally, simplify the expression:
(4m - 6m) + (9 + 15) = -2m + 24
Conclusion
Therefore, the simplified form of the expression (4m + 9) - 3(2m - 5) is -2m + 24. Remember to follow the order of operations (PEMDAS/BODMAS) and the distributive property when simplifying expressions.