[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 .
РЕШЕНИЕ:
1) (а-3)*(а+3)
2) (х+5)*(x+5)
3) (a+4)*(a^2-4a+16)
4) (b-1)*(b^2+b+1)
5) (y-1)*(y-1)
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Answers & Comments
[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 .
РЕШЕНИЕ:
1) (а-3)*(а+3)
2) (х+5)*(x+5)
3) (a+4)*(a^2-4a+16)
4) (b-1)*(b^2+b+1)
5) (y-1)*(y-1)