Fill in the blank to make a perfect square y^2+12y+?

36

Step-by-step explanation:

To make a perfect square we add (b/2) ^2

where b is ay^2 + by + c

Take b=12 then divide it by 2

12/2 = 6

The square it

6^2 = 36

Add 36

y^2+12y+36

Step-by-step explanation:

We want y^2+12y+? to become a perfect square. To achieve this, take the coefficient of the y term (it is 12) and divide it by 2 (obtaining 6). Now square this 6 and add the result (36) to y^2+12y.

You'll obtain y^2+12y+36, which is a perfect square.

Strictly speaking, if you begin with y^2+12y+?,

you should write y^2+12y + 36 - 36

so as not to change the value of y^2+12y.