Special Products
From WikiEducator
Contents
Name
Name | Equation |
---|---|
Square of a Sum | [math](x+y)^2=x^2+2xy+y^2\,\![/math] |
Square of a Difference | [math](x-y)^2=x^2-2xy+y^2\,\![/math] |
Cube of a Sum | [math](x+y)^3=x^3+2x^2y+3xy^2+y^3\,\![/math] |
Cube of a Difference | [math](x-y)^3=x^3-2x^2y+3xy^2-y^3\,\![/math] |
Difference of cube | [math]x^3-y^3=(x-y)(x^2+xy+y^2)\,\![/math] |
Sum of Cube | [math]x^3+y^3=(x+y)(x^2-xy+y^2)\,\![/math] |
Product of a Sum and a Difference | [math](x+y)(x-y)=x^2-y^2\,\![/math] |
Usage
- This table is useful when factoring expressions , solving equations etc
See Also