Expanding double brackets (AQA GCSE Maths): Flashcards

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Expanding double brackets
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Expanding double brackets definition

Multiplying two brackets together to create a single algebraic expression

Three methods for expanding double brackets

One-at-a-time, FOIL, and grid method

FOIL stands for

First, Outer, Inner, Last

FOIL: First step

Multiply the first term in each bracket

FOIL: Outer step

1st term of 1st bracket × 2nd term of 2nd bracket

FOIL: Inner step

2nd term of 1st bracket × 1st term of 2nd bracket

FOIL: Last step

Multiply the last term in each bracket

Grid method structure

Terms from 1st bracket along the top, 2nd bracket terms down the side

Key step after expanding brackets

Collect like terms to simplify

(x3)2(x - 3)^2 means

(x3)(x3)(x - 3)(x - 3) - multiplying the bracket by itself

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