### Algebra Expansion Formulae, Mathematics

The following are algebraix expansion formulae of selected polynomials.

**Square of summation**

(x + y)^{2} = x^{2} + 2xy + y^{2}

**Square of difference**

(x - y)^{2} = x^{2} - 2xy + y^{2}

**Difference of squares**

x^{2} - y^{2} = (x + y) (x - y)

**Cube of summation**

(x + y)^{3} = x^{3} + 3x^{2}y + 3xy^{2} + y^{3}

**Summation of two cubes**

x^{3} + y^{3} = (x + y) (x^{2} - xy + y^{2})

**Cube of difference**

(x - y) 3 = x^{3} - 3x^{2}y + 3xy^{2} - y^{3}

**Difference of two cubes**

x^{3} - y^{3} = (x - y) (x^{2} + xy + y^{2})