Learn: Simplifying Expressions in Algebra

Welcome!Today we'll learn about simplifying expressions in algebra. This is an important skill that helps us solve mathematical problems efficiently. Let's break it down step by step and have some fun!

What is Simplifying Expressions?In algebra, simplifying expressions means combining like terms and reducing the expression to its simplest form. This makes calculations easier and helps us understand equations better.

Key Concept: Like TermsLike terms are terms in an expression that have the same variables raised to the same powers. For example, 3x and 5x are like terms because they both involve x. However, 3x and 5y are not like terms because their variables are different.

Combining Like TermsTo simplify expressions, add or subtract the coefficients of like terms while keeping the variable the same. For example, if you have 3x + 5x, the result is 8x because you add the coefficients.

Distributive PropertyThe distributive property allows us to expand expressions by multiplying a term outside the bracket with each term inside the bracket. For example, a(b + c) becomes ab + ac. This is useful when simplifying more complex expressions.

How to Factorise ExpressionsFactorising is the opposite of expanding. To factorise, we find the greatest common factor (GCF) of all terms and write the expression as a product. For example, 6x + 9 can be factorised as 3(2x + 3).

Review Time!Great work! You've learned about simplifying expressions, combining like terms, using the distributive property, and factorising. Now let's test your understanding with a few questions.