Math Problem Statement

Simplify the following expression: (3x - 6) / (2x - 6) * (x^2 - 9) / (x^2 - 4) * (1 / 3)

Solution

The given expression simplifies to:

0.5x+1.5x+2\frac{0.5x + 1.5}{x + 2}

Would you like further details on the steps involved in the simplification?

Here are some related questions for further practice:

  1. How can we factorize polynomials to simplify expressions?
  2. How do you find the domain of the simplified expression?
  3. What are the vertical asymptotes of this rational expression?
  4. Can this expression be simplified further for specific values of xx?
  5. How do you multiply and divide rational expressions?

Tip: Always look for common factors in numerators and denominators when simplifying complex rational expressions!

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Math Problem Analysis

Mathematical Concepts

Algebra
Rational Expressions
Factoring

Formulas

Difference of Squares: a^2 - b^2 = (a - b)(a + b)
Factoring common terms

Theorems

Properties of Rational Expressions
Multiplication of Rational Expressions

Suitable Grade Level

Grades 9-10