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📚 MATHSKILLER TEXTBOOK SERIES
12

Algebraic Fractions

© 2025 MathsKiller
CHAPTER 12

Algebraic Fractions

12.1 Simplifying Algebraic Fractions

⚡ Steps to Simplify

1. Factorize numerator and denominator

2. Cancel common factors

Example 1

Simplify $\dfrac{x^2 - 4}{x^2 - x - 2}$

📝 Solution

$= \dfrac{(x+2)(x-2)}{(x+1)(x-2)} = \dfrac{x+2}{x+1}$

12.2 Operations with Algebraic Fractions
OperationMethod
MultiplicationMultiply numerators, multiply denominators
DivisionMultiply by reciprocal
Addition/SubtractionFind common denominator first
12.3 Solving Fractional Equations

⚡ Steps

1. Find common denominator

2. Multiply both sides to clear fractions

3. Solve the equation

4. Check if answer makes denominator = 0

📘 MathsKiller Textbook Series | Chapter 12: Algebraic Fractions

© 2025 MathsKiller