# Chapter 4: Algebraic Expressions and Algebraic Formulas

4.1: Algebraic Expressions |
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1. Introducing Variable & Constant |

2. Problem 1: Introducing Variable & Constant |

3. Introducing Coefficient & Exponent |

4. Problem 1: Introducing Coefficient & Exponent |

5. Introduction to Polynomials |

6. Problem 1: Introduction to Polynomials |

7. Polynomials w.r.t Terms & Variables |

8. Problem 1: Polynomials w.r.t Terms & Variables |

9. Polynomials w.r.t Degree & Coefficients |

10. Zero & Constant Polynomial |

11. Problem 1: Zero & Constant Polynomial |

12. Rational & Irrational Expressions |

13. Ordering of an Algebraic Expressions |

14. Equality Property of Rational Expression |

15. Problem 1: Equality Property of Rational Expression |

16. Sum of Rational Expressions |

17. Difference of Rational Expressions |

18. Product of Rational Expressions |

19. Division of Rational Expressions |

20. Value of an Algebraic Expression |

21. Problem 1: Value of an Algebraic Expression |

22. Problem 2: Value of an Algebraic Expression |

23. Additive & Multiplicative Inverses of Rational Expressions |

24. Problem 1: Additive & Multiplicative Inverses of Rational Expressions |

25. Reduce Rational Expressions to its Lowest Form |

26. Problem 1: Reduce Rational Expressions to its Lowest Form |

4.2: Algebraic Formulas |
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1. Square of Sum of Two Terms |

2. Problem 1: Square of Sum of Two Terms |

3. Problem 2: Square of Sum of Two Terms |

4. Square of Difference of Two Terms |

5. Difference of Square of Two Terms |

6. Square of Sum of Three Terms |

7. Problem 1: Square of Sum of Three Terms |

8. Problem 2: Square of Sum of Three Terms |

9. Cube of Sum of Two Terms |

10. Problem 1: Cube of Sum of Two Terms |

11. Problem 2: Cube of Sum of Two Terms |

12. Cube of Difference of Two Terms |

13. Problem 1: Cube of Difference of Two Terms |

14. Sum & Differences of Cube |

15. Problem 1: Sum & Differences of Cube |

16. Twice the Sum of Square of Two Terms |

17. Problem 1: Twice the Sum of Square of Two Termss |

18. Four Times Product of Two Terms |

19. Problem 1: Four Times Product of Two Terms |

4.3: Surds and their Application |
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1. Introduction to Surds |

2. Problem 1: Introduction to Surds |

3. Addition & Subtraction of Surds |

4. Problem 1: Addition & Subtraction of Surds |

5. Problem 2: Addition & Subtraction of Surds |

6. Multiplication & Division of Surds |

7. Problem 1: Multiplication & Division of Surds |

8. Problem 2: Multiplication & Division of Surds |

4.4: Rationalization of Surds |
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1. Introduction to Rationalization |

2. Rationalizing Denominator & its Types |

3. Problem 1: Rationalizing Denominator & its Types |

4. Problem 2: Rationalizing Denominator & its Types |

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