# Chapter 4: Algebraic Expressions and Algebraic Formulas

4.1: Algebraic Expressions
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
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
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
1. Introduction to Rationalization
2. Rationalizing Denominator & its Types
3. Problem 1: Rationalizing Denominator & its Types
4. Problem 2: Rationalizing Denominator & its Types