Respuesta :

I'm assuming that y2 means y^2 or y squared. In that case, your factors will be (6y+1) and (6y-1). 

Answer:

The factors of tex]36y^2-1[/tex] are [tex](6y+1)(6y-1)[/tex]

Step-by-step explanation:

Consider the given expression [tex]36y^2-1[/tex]

We have to factorize it completely  and then place the factors on grid.

Consider the given expression  [tex]36y^2-1[/tex]

We know algebraic identity, [tex]a^2-b^2=(a-b)(a+b)[/tex]

Using above stated algebraic identity , we have,

[tex]36y^2[/tex] can be written as [tex]6y \times 6y[/tex]

[tex]36y^2-1=(6y)^2-1^2=(6y+1)(6y-1)[/tex]

Thus, the factors of tex]36y^2-1[/tex] are [tex](6y+1)(6y-1)[/tex]

Below attachment shows the placement on grid.

 

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