(5n+3)12

3 min read Jun 16, 2024
(5n+3)12

Exploring the Expression (5n + 3)12

The expression (5n + 3)12 represents a simple algebraic expression, often encountered in basic algebra and arithmetic. This article aims to delve into understanding its structure, simplification, and potential applications.

Understanding the Expression

Structure:

  • 5n: Represents the product of 5 and a variable 'n', representing an unknown value.
  • +3: Represents a constant term.
  • (5n + 3): The entire expression within the parenthesis indicates a binomial.
  • 12: Represents a constant factor.

Interpretation:

The expression signifies multiplying the sum of '5 times an unknown value (n)' and 3 by the constant 12.

Simplifying the Expression

To simplify the expression, we can distribute the 12 across the terms within the parenthesis:

(5n + 3)12 = 12(5n) + 12(3)

This simplifies to:

60n + 36

Therefore, the simplified form of the expression (5n + 3)12 is 60n + 36.

Applications

The expression (5n + 3)12 can be used in various scenarios, including:

  • Modeling real-world situations: Imagine calculating the total cost of buying 'n' items that cost $5 each, plus a fixed cost of $3, then multiplying the total cost by 12.
  • Evaluating expressions: If we are given a specific value for 'n', we can substitute it into the expression and evaluate it. For example, if n = 2, the expression becomes 60(2) + 36 = 156.
  • Solving equations: The expression can appear in equations where we need to solve for the unknown 'n'.

Conclusion

The expression (5n + 3)12, though seemingly simple, represents a fundamental concept in algebra. Understanding its structure, simplification, and applications allows us to utilize it effectively in various contexts, from basic problem-solving to modeling real-world scenarios.

Related Post