(2m+1)9+5(5m+3) Simplified

Jasonbradley

2 min read

·

Jun 16, 2024

26

Share

Simplifying the Expression (2m + 1)9 + 5(5m + 3)

This article will guide you through the steps of simplifying the algebraic expression (2m + 1)9 + 5(5m + 3).

Understanding the Expression

The expression involves:

• Parentheses: We need to distribute the multiplication before combining terms.
• Variables: 'm' represents an unknown value.
• Constants: Numbers like 9, 5, 1, and 3.

Step-by-Step Simplification

1. Distribute:

   • Multiply 9 by each term inside the first set of parentheses: (2m + 1)9 = 18m + 9
   • Multiply 5 by each term inside the second set of parentheses: 5(5m + 3) = 25m + 15

2. Rewrite the expression: Now our expression looks like this: 18m + 9 + 25m + 15

3. Combine like terms:

   • Combine the 'm' terms: 18m + 25m = 43m
   • Combine the constant terms: 9 + 15 = 24

4. Simplified expression: The simplified expression is: 43m + 24

Conclusion

By applying the distributive property and combining like terms, we have successfully simplified the expression (2m + 1)9 + 5(5m + 3) to 43m + 24. This simplified form makes it easier to evaluate the expression for any given value of 'm'.