DIFFERENCE OF 2 SQUARES 1

factorize completely   (x-2)² - x²  

solution

= (x-2)² - x²  

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

= [x-2 - x][ x-2 + x ] 

= [x-x-2][ x+ x - 2  ] 

= [0-2][ 2x - 2  ] 

= [-2][ 2x - 2  ] 

Hence  (x-2)² - x²  = (-2)( 2x - 2) 

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

factorize completely   (x-3)² - x²