FACTORIZING 3

Factorize 49 – (x-2)²

Solution

= 49 – (x-2)²

= 7² – (x-2)²   Let a=7 and b=(x-2)

= [7 - (x-2)][7 + (x-2)]     Since a²-b²=(a-b)(a+b)

= [7 – x+2][7 + x-2]  

 = [7+2 – x][7 – 2 + x] 

   

 = [9– x][5 + x] 

   

= (9 – x)(5 + x) answer   

TRY THIS…………….. 

Factorize 36 – (x-2)²