Math Problem Statement

\left(2x-3\right)-\left(2x+3\right)

Solution

Let's simplify the given expression:

(2x3)(2x+3)(2x - 3) - (2x + 3)

  1. Distribute the negative sign across the second set of parentheses:

=(2x3)2x3= (2x - 3) - 2x - 3

  1. Now combine like terms:

2x2x33=62x - 2x - 3 - 3 = -6

So, the simplified expression is:

6\boxed{-6}

Would you like more details, or have any further questions?

Here are five related questions:

  1. What would be the result of (3x5)(3x+7)(3x - 5) - (3x + 7)?
  2. How do we simplify (5x+2)(3x4)(5x + 2) - (3x - 4)?
  3. What is the difference between (4x+6)(2x+3)(4x + 6) - (2x + 3)?
  4. How can we combine terms in expressions like (2x1)+(3x+2)(2x - 1) + (3x + 2)?
  5. How do you factor expressions like (2x3)(2x - 3) and (2x+3)(2x + 3)?

Tip: Always distribute the negative sign when subtracting expressions enclosed in parentheses.

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Math Problem Analysis

Mathematical Concepts

Algebra
Simplification of Expressions
Combining Like Terms

Formulas

(a - b) - (c - d) = a - b - c + d

Theorems

-

Suitable Grade Level

Grades 6-8