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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
The math equation is written exactly this way: 0+50x1-60-60x0+10=??? The answer I get is 10 and others say 0 0+50=50 50x1=50 50-60=-10 -10-60=-70 -70x0=0 0+10=10
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