Identities (AQA GCSE Maths): Flashcards

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Identities
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What is an identity?

Mathematical statement that is always true, regardless of variable values

Symbol used for identities

≡ (not =)

Identity vs equation difference

Identity always true; equation only for specific values

Can you use balance method on identities?

No, manipulate each side separately

How to prove an identity

Start with one side, use algebra, show all working

2n2n where nn is whole number

Always even

Even × any number

Even

Odd × odd

Odd

Odd × even

Even

Difference of squares pattern

(a+b)(ab)a2b2(a + b)(a - b) \equiv a^2 - b^2

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