# Special Products

## Name

Name Equation
Square of a Sum $(x+y)^2=x^2+2xy+y^2\,\!$
Square of a Difference $(x-y)^2=x^2-2xy+y^2\,\!$
Cube of a Sum $(x+y)^3=x^3+2x^2y+3xy^2+y^3\,\!$
Cube of a Difference $(x-y)^3=x^3-2x^2y+3xy^2-y^3\,\!$
Difference of cube $x^3-y^3=(x-y)(x^2+xy+y^2)\,\!$
Sum of Cube $x^3+y^3=(x+y)(x^2-xy+y^2)\,\!$
Product of a Sum and a Difference $(x+y)(x-y)=x^2-y^2\,\!$

## Usage

• This table is useful when factoring expressions , solving equations etc