Math Problem Statement

Simplify the rational expressions in the image (problems 23 to 28).

Solution

The image contains a set of rational expressions for problems numbered 23 to 28. Let's go through these problems step by step to simplify or solve each.

Problem 23:

x24x2\frac{x^2 - 4}{x - 2}

This expression can be factored as: (x2)(x+2)x2\frac{(x - 2)(x + 2)}{x - 2} The

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Math Problem Analysis

Mathematical Concepts

Rational Expressions
Factoring
Algebra

Formulas

Factoring Quadratics: ax^2 + bx + c = (x - p)(x - q)
Polynomial Division
Rational Expression Simplification

Theorems

Fundamental Theorem of Algebra
Factorization of Quadratics

Suitable Grade Level

Grades 9-11