(6+2n^3)+(5n^2+2)

Jasonbradley

2 min read

·

Jun 16, 2024

17

Share

Simplifying Algebraic Expressions: (6+2n^3)+(5n^2+2)

In mathematics, simplifying algebraic expressions is a crucial step in solving equations and understanding mathematical relationships. Let's take a look at how to simplify the expression: (6+2n^3)+(5n^2+2).

Understanding the Expression

The expression consists of two sets of terms enclosed in parentheses:

• (6+2n^3): This set includes a constant term (6) and a term with a variable (2n^3).
• (5n^2+2): This set also includes a constant term (2) and a term with a variable (5n^2).

Simplifying the Expression

To simplify, we need to combine like terms. Like terms are terms that have the same variable and the same exponent.

1. Remove the parentheses: Since we are adding the two sets of terms, we can simply remove the parentheses:

   • 6 + 2n^3 + 5n^2 + 2

2. Rearrange the terms: Let's arrange the terms in descending order of their exponents:

   • 2n^3 + 5n^2 + 6 + 2

3. Combine like terms: We can combine the constant terms:

   • 2n^3 + 5n^2 + 8

The Simplified Expression

Therefore, the simplified form of the expression (6+2n^3)+(5n^2+2) is 2n^3 + 5n^2 + 8.