Expanding brackets

notharsha
Mind Map by notharsha, updated more than 1 year ago
notharsha
Created by notharsha almost 5 years ago
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This is a mind map explaining how to expand and simplify brackets.

Resource summary

Expanding brackets
1 To expand brackets, you need to multiply the number outside the bracket by ALL the values inside the bracket
1.1 For example: 3y(4-2y) is the same as (3y)*(4-2y). However, we don't use '*' in algebra. So it is written as 3y(4-2y).
1.1.1 To expand or multiply out of this bracket, we multiply every term inside the bracket by the term outside the bracket.
1.1.1.1
1.2 A slightly harder example of expanding brackets is working with negatives.
1.2.1 For example, try solving this:
1.2.1.1
1.2.1.1.1 When there is a negative term outside the bracket, the signs of the multiplied terms change
1.2.1.1.1.1
1.2.1.2 In general:
1.2.1.2.1
1.2.1.2.2
1.2.1.2.3
1.2.1.2.4
1.3 Sometimes we need to multiply out brackets and then simplify expressions
1.3.1
1.3.2 Try this:
1.3.2.1
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