  # Multiplying Out Two Brackets and Simplifying

In this worksheet, students multiply out two binomials. Key stage:  KS 3

Curriculum topic:   Algebra

Curriculum subtopic:   Simplify Algebraic Expressions to Maintain Equivalence

Difficulty level:   #### Worksheet Overview

In this worksheet, you must multiply out two algebraic brackets.

Method

When we multiply out brackets we split the first bracket and multiply each term by the second bracket, as follows:

(a + b)(c) = a(c) + b(c)

(a - b)(c) = a(c) - b(c)

Examples

(x + 3)(x - 6) = x(x - 6) + 3(x - 6) = x- 6x + 3x - 18
= x- 3x - 18

(2x - 1)2 = (2x - 1)(2x - 1) = 2x(2x - 1) - 1(2x - 1) = 4x- 2x - 2x + 1
= 4x- 4x + 1

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