Algebraic identities

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Last updated 6:45 AM on 7/8/26
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11 Terms

1
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(a+b)²

a² + 2ab + b²

2
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(a−b)²

a² − 2ab + b²

3
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(a+b+c)²

a² + b² + c² + 2ab + 2bc +2ca

4
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(a−b−c)²

a² + b² + c² − 2ab + 2bc − 2ac

5
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(a+b) (a−b)

a²−b²

6
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(a+b)³

a³ + b³ + 3a²b + 3ab²

7
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(a−b)³

a³−3a²b+3ab²−b³

8
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a³+b³

(a+b) (a²-ab+b²)

9
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a³ − b³

(a − b) (a² + ab + b²)

10
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if a + b + c = 0

a³ + b³ + c³ = 3abc

11
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if a³ + b³ + c³ = 3abc

then
a=b=c
or
a+b+c = 0