Simplifying Expressions

🎬 Video Tutorial

(0:01) What Does Simplifying Expressions Mean? Simplifying expressions means rewriting them in a shorter or more understandable form while keeping their value the same.
(0:09) How to Simplify Expressions (Technique – Expanding Brackets): Use the distributive law to eliminate brackets by multiplying each term inside by the term outside. For example, $2(3 + x)$ expands to $6 + 2x$.
(0:35) What are Like Terms and How to Collect Like Terms? Like terms have the same variable and same exponent. Combining like terms means adding or their coefficients. For example, $-5x + 2x$ simplifies to $(-5+2)x$, which is $-3x$.
(2:05) How to Handle Negative Signs in Front of Brackets? When a negative sign is in front of brackets, treat it as multiplying by $-1$ to reverse the signs of all terms inside the brackets. For example, $-(x-3)=-x+3$.

📂 Revision Cards

Steps to simplify an expression by expanding brackets and collecting like terms, showing -5x + 2(3 + x) simplified to -3x + 6. — 1) How to Simplify Expressions

Simplifying expressions by expanding brackets using distributive law, and combining like terms to simplify 3(2x - 1) + 4(-x + 5) into 2x + 17. — 2) Simplifying Expressions Example

Expanding brackets to simplify the expression 3(-2x + x²) - (x - 3), resulting in 3x² - 7x + 3, with notes on like terms. — 3) Simplifying Expressions Practice

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