Home | About Mathguru | Advertisements | Teacher Zone | FAQs | Contact Us | Login

 
If you like what you see in Mathguru
Subscribe Today
For 12 Months
US Dollars 12 / Indian Rupees 600
Available in 20 more currencies if you pay with PayPal.
Buy Now
No questions asked full moneyback guarantee within 7 days of purchase, in case of Visa and Mastercard payment
  

Example :Factorize Expression and Simplify as Directed

Post to:

Bookmark and Share



Explanation:

 

 

Factorization

 

In mathematics, factorization (also factorisation in British English) or factoring is the decomposition of an object (for example, a number, a polynomial, or a matrix) into a product of other objects, or factors, which when multiplied together give the original.  For example, the number 15 factors into primes as 3 × 5, and the polynomial x2 − 4 factors as (x − 2)(x + 2). In all cases, a product of simpler objects is obtained.

The aim of factoring is usually to reduce something to "basic building blocks," such as numbers to prime numbers, or polynomials to irreducible polynomials.

Sum/difference of two squares

Another common type of algebraic factoring is called the difference of two squares. It is the application of the formula

to any two terms, whether or not they are perfect squares. If the two terms are subtracted, simply apply the formula. (Our solved example in mathguru.com uses this concept)

 

http://en.wikipedia.org/wiki/Factorization

 

The above explanation is copied from Wikipedia, the free encyclopedia and is remixed as allowed under the Creative Commons Attribution- ShareAlike 3.0 Unported License.