Respuesta :

Answer:

(y + 3)² - 8

Step-by-step explanation:

y² + 6y +1

Step 1: Divide the co efficient of y by 2

6 ÷2 = 3

Step2: Now find the square of 3

3² = 9

Step3: Add and subtract 9

y² + 6y + 9 - 9 + 1  = y² +6y + 9 - 8  

                              = y² + 2*y*3 + 3² - 8    

Compare y² +2 * y*3 + 3² with a² +2ab + b²

                             = (y + 3)² - 8