Math Problem Statement

Simplify the algebraic expression 2 + (x + 8).

Solution

The equation in the image is:

2+(x+8)2 + (x + 8)

This expression can be simplified as follows:

Step-by-Step Solution:

  1. Combine like terms inside the parentheses first: x + 8 \text{ remains as is since x is a variable.}

  2. Add 22 to the result of (x+8)(x + 8): 2+x+82 + x + 8

  3. Combine the constants 22 and 88: x+10x + 10

Final Simplified Expression:

x+10x + 10


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Related Questions:

  1. How do you simplify algebraic expressions involving parentheses?
  2. If x=5x = 5, what is the value of 2+(x+8)2 + (x + 8)?
  3. How can we solve 2+(x+8)=202 + (x + 8) = 20 for xx?
  4. What happens when the parentheses contain subtraction instead, e.g., 2+(x8)2 + (x - 8)?
  5. What are like terms, and how do we combine them?

Tip: Always simplify expressions step by step, especially when parentheses and variables are involved!

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Math Problem Analysis

Mathematical Concepts

Simplifying Algebraic Expressions
Combining Like Terms

Formulas

Combining constants: a + b = c

Theorems

Basic rules of addition in algebra

Suitable Grade Level

Grades 6-8