FACTORIZE 3

Factorize 25 – (x-3)²

Solution

= 25 – (x-3)²

= 5² – (x-3)²   Let a=5 and b=(x-3)

= [5 - (x-3)][5 + (x-3)]     Since a²-b²=(a-b)(a+b)

= [5 – x+3][5 + x-3]  

= [5+3 – x][5 – 3 + x]   

 

= [8 – x][2 + x] 

   

= (8 – x)(2 + x) answer   

TRY THIS…………….. 

Factorise 81 – (x-2)²