Simplifying Expressions with Multiple Variables

Learn how to simplify algebraic expressions using indices (exponents) and collecting like terms. Let’s get started! 🚀

Simplifying Expressions with Multiple Variables - introduction visual

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Expressions with multiple variables include more than one variable, shown by the expression a + 2b + 3c squared.Simplification techniques for exponents showing multiplication rules with variables x and y, and explanation of the commutative law.Simplification techniques showing how to collect like terms by adding coefficients and identifying like terms with the same variables and exponents.Simplifying algebraic expression involving multiple variables using distributive law, exponents, and collecting like terms.

🛎️ Expressions with Multiple Variables

  • An expression has multiple variables if it has more than one letter.
  • For example, a+2b+3c2a + 2b + 3c^2 has the variables aa, bb, and cc.

🛎️ Using Exponents to Simplify

  • Exponents are used for repeated multiplication.
  • For example, x×y×yx \times y \times y can be written as xy2xy^2.

🛎️ Collecting Like Terms

  • Like terms have the same variables with the same powers.
  • For example, aa and a2a^2 are not like terms and cannot be combined.
  • To collect like terms, add or subtract the coefficients, for example 5ab2ab=3ab5ab - 2ab = 3ab.

🛎️ Simplifying an Expression Step by Step

  • First expand brackets using the distributive law.
  • Then use exponents and collect like terms to simplify fully.

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Simplifying Expressions with Multiple Variables

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