Special products and factors

Math

(x + y)² = x² + 2xy + y²

(x − y)² = x² − 2xy + y²

(x + y)3 = x3 + 3x² y + 3xy² + y3

(x − y)3 = x3 − 3x² y + 3xy² − y3

(x + y)4 = x4 + 4x3 y + 6x² y² + 4xy3 + y4

(x − y)4 = x4 − 4x3 y + 6x² y² − 4xy3 + y4

(x + y)5 = x5 + 5x4 y + 10x3 y² + 10x² y3 + 5xy4 + y5

(x − y)5 = x5 − 5x4 y + 10x3 y² − 10x² y3 + 5xy4 − y5

(x + y)6 = x6 + 6x5 y + 15x4 y² + 20x3 y3 + 15x² y4 + 6xy5 + y6

(x − y)6 = x6 − 6x5 y + 15x4 y² − 20x3 y3 + 15x² y4 − 6xy5 + y6

 x² − y² = (x − y)(x + y)

x3 − y3 = (x − y)(x² + xy + y² )

x3 + y3 = (x + y)(x² − xy + y² )

x4 − y4 = (x − y)(x + y)(x² + y² )

x5 − y5 = (x − y)(x4 + x3 y + x² y² + xy3 + y4 )

x5 + y5 = (x + y)(x4 − x3 y + x² y² − xy3 + y4 )

x6 − y6 = (x − y)(x + y)(x² + xy + y² )(x² − xy + y² )

x4 + x² y² + y4 = (x² + xy + y² )(x² − xy + y² )

x4 + 4y4 = (x² + 2xy + 2y² )(x² − 2xy + 2y² )

 

 

 

 

 

 

Recherche personnalisée