Monday 22 February 2016

FACTORIZATION - 7


Factorize completely   (3x-5)2 - x2  

solution

= (3x-5)2 - x2  

= [(3x-5) - x][ (3x-5) + x ]  --- since a2 + b2 = (a+b)(a-b) Here a is (x-2) and b is x.

= [3x-5 - x][ 3x-5 + x ] 

= [3x-x-5][ 3x+ x - 5  ] 

= [2x-5][ 4x - 5  ] 

= [2x-5][ 4x - 5 ] 

Hence  (2x-5)2 - x2  = (2x-2)(4x - 5) 

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


Factorize completely   (6x-1)2 - x2  


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