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Simplifying Algebraic Expressions by Expanding Brackets

This guide focuses on the method of expanding brackets in algebraic expressions. It details the process of removing brackets using multiplication, illustrated with examples such as 3(x + 2) and (x + 3)(x - 2). Through these examples, we explore how to distribute the terms and simplify expressions step by step, ultimately leading to forms that reveal underlying patterns, like x² and 2x. This technique is essential for tackling more complex algebra problems and aids in foundational understanding.

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Simplifying Algebraic Expressions by Expanding Brackets

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  1. 8 November, 2014 Expand Brackets This means ‘get rid’ of the brackets in cases like: 3(x + 2) 4(2x + 3) x(x + 3) (x + 3)(x – 2) 3(x – 2) + 2(x – 3) Low C C B

  2. This means x times (x + 2) x(x + 2)

  3. This means 3 times (x + 2) x(x + 2) xX (x + 2) To remove the brackets, you times the x and 2 by x.

  4. This means 3 times (x + 2) x(x + 2) xX (x + 2) xX x + xX 2 To remove the brackets, you times the x and 2 by x. Like this

  5. This means 3 times (x + 2) x(x + 2) xX (x + 2) xX x + xX 2 x2 + 2x To remove the brackets, you times the x and 2 by x. Like this xX 2 can be written as 2x x x x is x squared

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