Fundamentals of Algebra, Probability, and Geometry

📋 Course Outline

1. Expanding and Simplifying
2. Probability
3. Recurring Decimals
4. Trigonometry sin cos tan
5. Volume

📖 1. Expanding and Simplifying

🔑 Key Concepts & Definitions

Algebraic Expansion: A process that involves multiplying each term inside brackets by the term outside, effectively removing parentheses to rewrite the expression in a more manageable form.

Like Terms: Terms within an algebraic expression that share the same variable raised to the same power, allowing their coefficients to be combined through addition or subtraction.

Simplification: The act of reducing an algebraic expression to its most straightforward form by combining like terms and performing necessary operations to make the expression easier to work with.

Factorisation: The process of rewriting an algebraic expression as a product of its factors, often to facilitate solving or further manipulation.

📝 Essential Points

• When expanding, always multiply each term inside the brackets by the term outside, ensuring all parts of the expression are correctly distributed.
• To combine like terms, add or subtract their coefficients while keeping the variables and exponents unchanged.
• Before simplifying, check for common factors in the terms to make the expression more concise and easier to work with.

💡 Key Takeaway