-simplified.jpeg "(2n+2) Simplified")
Simplifying (2n + 2)
The expression (2n + 2) is a simple algebraic expression that can be simplified by factoring out a common factor. Here's how:
Understanding the Expression
- 2n: This represents twice the value of the variable 'n'.
- 2: This is a constant term.
- +: This indicates addition.
Simplifying by Factoring
- Identify the common factor: Both terms, 2n and 2, share a common factor of 2.
- Factor out the common factor: Divide each term by 2:
- 2n / 2 = n
- 2 / 2 = 1
- Rewrite the expression: The simplified expression is 2(n + 1).
Example
Let's say n = 3.
- Original expression: (2 * 3 + 2) = 8
- Simplified expression: 2(3 + 1) = 2 * 4 = 8
As you can see, both expressions yield the same result.
Why Simplify?
Simplifying expressions like (2n + 2) makes them easier to work with:
- Easier calculations: The simplified form often leads to simpler calculations, especially when dealing with larger values of 'n'.
- Better understanding: Factoring helps visualize the relationship between the terms and makes it easier to understand the expression's structure.
- Problem solving: Simplified expressions are crucial in problem solving, especially in algebra and other mathematical fields.
By understanding the process of simplifying expressions like (2n + 2), you gain a valuable tool for manipulating and solving algebraic problems.