#### FACTORING

Factoring is the process of writing polynomial as a product.

#### COMMON MONOMIAL FACTOR

**cx + cy = c(x + y)**

#### FACTORING SPECIAL POLYNOMIAL FORMS

**Difference of Two Squares**

**x2 – y2 = (x + y) (x – y)**

**Perfect Square Trinomial**

**x2 + 2xy + y2 = (x + y)2**

**x2 – 2xy + y2 = (x – y)2**

**Sum or Difference of Two Cubes**

**x3 + y3 = (x + y) (x2 – xy + y2)**

**x3 – y3 = (x – y) (x2 + xy + y2)**

#### OTHER TRINOMIALS

**x2 + (a + b)x + ab = (x + a) (x + b)**

**acx2 + (ad +bc)x + bd = (ax + b) (cx + d)**

#### FACTORING BY GROUPING

**ac + bc + ad + bd = c(a + b) + d(a + b)**

** = (a + b) (c + d)**

#### FACTORING (x2 ± y2)

**x4 – y4 = (x – y) (x + y) (x2 + y2)**

**x5 + y5 = (x + y) (x4 – x3y + x2y2 – xy3 + y4)**

**x5 – y5 = (x – y) (x4 + x3y + x2y2 + xy3 + y4)**

**x6 – y6 = (x – y) (x + y) (x2 + xy + y2) (x2 – xy + y2)**