Friday, 11 December 2015

FACTORIZE-3


Factorize completely   (2x-2)2 - x2  

solution
= (2x-2)2 - x2  

= [(2x-2) - x][ (2x-2) + x ]  --- since a2 + b2 = (a+b)(a-b) Here a is (x-2) and b is x.

= [2x-2 - x][ 2x-2 + x ] 

= [2x-x-2][ 2x+ x - 2  ] 

= [x-2][ 3x - 2  ] 

= [x-2][ 3x - 2  ] 

Hence  (x-2)2 - x2  = (x-2)( 3x - 2) 

TRY THIS....................


Factorize completely   (2x-1)2 - x2  

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