Question

Factorise the following expressions
1) 36y square + 12y square +1​

Answer 1

Answer:

The factorization of the given expression is $(6y+1)^{2}$.

Step-by-step explanation:

The factorization of the given expression is shown below.

36$y^{2}$+12y+1 = $6^{2}$$y^{2}$+2(6y)(1)+$1^{2}$

= $(6y+1)^{2}$

The above expression is factorized using the identity $(a+b)^{2}$ = $a^{2}$ + 2ab +$b^{2}$

Therefore, the factorization of the given expression is $(6y+1)^{2}$.