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.

Remove the parentheses: Since we are adding the two sets of terms, we can simply remove the parentheses:
 6 + 2n^3 + 5n^2 + 2

Rearrange the terms: Let's arrange the terms in descending order of their exponents:
 2n^3 + 5n^2 + 6 + 2

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.