Math Problem Statement

(x+3)-(x+2)

Solution

To simplify the expression (x+3)(x+2)(x + 3) - (x + 2), follow these steps:

  1. Distribute the negative sign to both terms inside the second set of parentheses: (x+3)x2(x + 3) - x - 2

  2. Now combine like terms: xx+32x - x + 3 - 2

  3. The xxx - x terms cancel each other out, leaving: 32=13 - 2 = 1

Thus, the simplified expression is: 11

Would you like further clarification or details on this? Here are some related questions:

  1. How do you handle expressions with multiple parentheses?
  2. What happens if there’s a negative sign in front of more complex expressions?
  3. How do you simplify an expression with multiple terms involving xx?
  4. Can you apply this method to solve more complicated algebraic expressions?
  5. What is the importance of recognizing like terms in algebraic simplification?

Tip: Always distribute negative signs correctly across parentheses to avoid errors when simplifying algebraic expressions!

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Math Problem Analysis

Mathematical Concepts

Algebra
Simplifying Expressions
Distributive Property

Formulas

Distributive property: a(b + c) = ab + ac

Theorems

Like terms cancellation
Simplification of expressions

Suitable Grade Level

Grades 6-8