Math Problem Statement

Simplify the given rational algebraic expressions in the image.

Solution

The image contains several algebraic rational expressions involving addition and subtraction. To simplify or solve these, the steps typically involve:

  1. Identifying common denominators for all terms in each expression.
  2. Rewriting the fractions with the common denominator.
  3. Combining the numerators while keeping the common denominator.
  4. Simplifying the result, if possible.

Let me know which specific question you would like to start with (e.g., oo, pp, qq, etc.), or if you'd like a step-by-step solution for all.

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Math Problem Analysis

Mathematical Concepts

Algebraic Rational Expressions
Addition and Subtraction of Fractions
Factoring Quadratics
Simplification

Formulas

Common Denominator: LCM of denominators
Factoring Formulas: a^2 - b^2 = (a - b)(a + b)
Simplification Rules for Rational Expressions

Theorems

Fundamental Theorem of Algebra
Properties of Rational Expressions

Suitable Grade Level

Grades 9-12