(4m+9)−3(2m−5) Difference

2 min read Jun 16, 2024
(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.

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