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Example:Simplify using Algebraic Identity (a+b)2

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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.



Quadratic polynomials


Any quadratic polynomial over the complex numbers (polynomials of the form ax2 + b x + c where a, b, and c  ) can be factored into an expression with the form  using the quadratic formula.

where α and β are the two roots of the polynomial, found with the quadratic formula.


Perfect square trinomials


A visual illustration of the identity (a + b)2 = a2 + 2ab + b2

Some quadratics can be factored into two identical binomials. These quadratics are called perfect square trinomials. Perfect square trinomials can be factored as follows:

(Our solved example in mathguru.com uses this concept)





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.