Expanding Brackets (AQA A-Level Mathematics): Flashcards

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Expanding Brackets
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Purpose of expanding brackets

Removes parentheses and simplifies expressions

Technique for single bracket expansion

Distribute outer term to each inner term

General form: a(b+c)=a(b+c)=

ab+acab + ac

Method for expanding double brackets

FOIL method

FOIL acronym meaning

First, Outside, Inside, Last

General form: (a+b)(c+d)=(a+b)(c+d)=

ac+ad+bc+bdac + ad + bc + bd

Key tip when expanding with negative signs

Carefully distribute signs to ensure correct signs throughout

Technique for expanding >2 brackets

Expand two brackets first, then multiply by remaining

Expand: 3(x+4)3(x + 4)

3x+123x + 12

Expand: (x+2)(x+3)(x + 2)(x + 3)

x2+5x+6x^2 + 5x + 6

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