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