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Simplifying Expressions

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  • (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, $-(x-3)=-x+3$.

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