# Algebra and General Mathematics: Factoring

(Last Updated On: February 5, 2020) #### 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)

Please do Subscribe on YouTube!

P inoyBIX educates thousands of reviewers and students a day in preparation for their board examinations. Also provides professionals with materials for their lectures and practice exams. Help me go forward with the same spirit.

“Will you subscribe today via YOUTUBE?”

Subscribe