Types Of Factoring

The Difference Of Two Squares:


a²- b² = (a + b)(a - b)


Ex:

    1. (x+4)(x-4)
    2. (x+6)(x-6)
    3. (x-8)(x+8)


Trinomial perfect squares


a² + 2ab + b²= (a + b)(a + b) or (a + b)<sup>2


Ex:
 1.) (x+9)(x+9)
 2.) (x+5)(x+5)
 3.) (x+7)(x+7)</sup>



 


 Difference of two cube

Ex:

• 8x³ + 27 = (2x)³ + (3)³ = (2x + 3) (4x² + 6x + 9) 

* 1- Cube root em
* 2- Square root
* 3- multiply and change


Binomial expansion





a³ - b³




3 - cube root 'em
2 - square 'em
1 - multiply and change


3 examples


 Sum of two cubes


a³ + b³ 


3 - cube root 'em
2 - square 'em
1 - multiply and change