[1] ( a + b )²
= a² + 2ab + b² ,
[2] ( a – b )²
= a² – 2ab + b²
,
[3] ( a + b ) ( a – b ) = a²
– b²,
[4] ( a + b )³
= a³
+ 3a² b + 3ab²
+ b³ ,
[5] ( a – b )³
= a ³
– 3a² b + 3ab²
– b³ ,
[6] ( a + b )( a²
– ab + b²
) = a³ + b³ ,
[7] ( a – b )( a ²
+ ab + b²
) = a³ – b³
.
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