Answer:
(y + 3)² - 8
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