FACTORIZE 2

Factorize 49 – (x-10)²

Solution

= 49 – (x-10)²

= 7² – (x-10)²   Let a=7 and b=(x-10)

= [7 - (x-10)][7 + (x-10)]     Since a²-b²=(a-b)(a+b)

= [7 – x+10][7 + x-10] 

 

 = [7+10 – x][7 – 10 + x]    

 = [17– x][-3 + x]    

= [17– x][ x-3]  

  

= (17 – x)(x-3) answer   

TRY THIS…………….. 

Factorize 25 – (x-12)²