FACTORIZING 5

Factorize 25 – (x-2)²

Solution

= 25 – (x-2)²

= 5² – (x-2)²   Let a=5 and b=(x-2)

= [5 - (x-2)][5 + (x-2)]     Since a²-b²=(a-b)(a+b)

= [5 – x+2][5 + x-2] 

 

 = [5+2 – x][5 – 2 + x]    

 = [7– x][3 + x]  

  

= (7 – x)(3 + x) answer   

TRY THIS…………….. 

Factorise 25 – (x-2)²