Question 1: Factorize 144a 2 + 24a + 1

Question 1: Factorize 144 a^{2}+24a+1

Factorization techniques —-

Solution:

 

 

 

Given expression is

144 a^{2}+24a+1

Let’s convert the expression into ( a)^{2}+2(a)(b)+(b ){2} = (a+b)^{2}  form.

Given expression can be written as ;

= (12 a)^{2}+2(12a)(1)+(1 ){2}

= (12a+1)^{2}

It is so, because here as per formula

12a stands for a

1 stands for b

Hence (12a+1) is two time factor of given expression.

 

 


 

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