Expanding Brackets (Edexcel A-Level Mathematics): Flashcards

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Expanding Brackets
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Purpose of expanding brackets

Remove brackets and simplify expressions

Method for single bracket expansion

Distribute outer term to each inner term

General form: single bracket

a(b+c)=ab+aca(b + c) = ab + ac

Method for expanding double brackets

FOIL method

What does FOIL stand for?

First, Outside, Inside, Last

General form: double brackets

(a+b)(c+d)=ac+ad+bc+bd(a + b)(c + d) = ac + ad + bc + bd

First step in FOIL method

Multiply the first terms from each bracket

Outside step in FOIL

Multiply the outer terms

Key concern when expanding with negatives

Pay attention to signs during distribution

Strategy for 3+ brackets

Expand two 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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