# Algebra and General Mathematics: Special Products

(Last Updated On: February 5, 2020)

#### SPECIAL PRODUCTS

1. Product of Two Similar Binomials

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

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

2. Product of the Sum and Difference of Two Numbers

(x + y) (x – y) = x2 – y2

3. Square of a Binomial

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

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

4. Square of a Trinomial

(x + y + z)2 = x2 + y2 + z2 + 2 (xy + xz + yz)

5. Square of a Polynomial

(a + b + c + …)2 = a2 + b2 + c2 + … + 2a (b + c + …) + 2b (c + …) + 2c (…)

6. Cube of a Binomial

(x + y)3 = x3 + 3x2y + 3xy2 + y3

(x – y)3 = x3 – 3x2y + 3xy2 – y3

7. Other Products:

(x + y)4 = x4 + 4x3y + 6x2y2 + 4xy3 + y4

(x – y)4 = x4 – 4x3y + 6x2y2 – 4xy3 + y4

(x + y)5 = x5 + 5x4y + 10x3y2 + 10x2y3 + 5xy4 + y5

(x – y)5 = x5 – 5x4y + 10x3y2 – 10x2y3 + 5xy4 – y5

(x + y)6 = x6 + 6x5y + 15x4y2 + 20x3y3 + 15x2y4 + 6xy5 + y6

(x – y)6 = x6 – 6x5y + 15x4y2 – 20x3y3 + 15x2y4 – 6xy5 + y6

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

• Full Content Access Exclusive to Premium members

## PINOYBIX FREEBIES FOR PREMIUM MEMBERSHIP:

• CIVIL ENGINEERING REVIEWER
• CIVIL SERVICE EXAM REVIEWER
• CRIMINOLOGY REVIEWER
• ELECTRONICS ENGINEERING REVIEWER (ECE/ECT)
• ELECTRICAL ENGINEERING & RME REVIEWER
• FIRE OFFICER EXAMINATION REVIEWER
• LET REVIEWER
• MASTER PLUMBER REVIEWER
• MECHANICAL ENGINEERING REVIEWER
• NAPOLCOM REVIEWER

## FOR A LIMITED TIME

If you subscribe for PREMIUM today!