Special forms of polynomial, Mathematics

Special Forms

There are a number of nice special forms of some polynomials which can make factoring easier for us on occasion. Following are the special forms.

a2 + 2ab + b2  = ( a + b )2

a2 - 2ab + b2  = ( a - b )2

a2 - b2  = ( a + b ) ( a - b )

a3 + b3  + ( a + b ) (a2  - ab + b2 )

a3 - b3  =(a - b ) (a2  + ab + b2 )

Let's take one examples with these.

Example 4 Factor following.

                   x2 - 20 x + 100

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