Factor y^2-6y+9

Problem

y2−6*y+9

Solution

1. Identify the structure of the quadratic expression, which is in the form a*y2+b*y+c where a=1 b=−6 and c=9

2. Recognize that the expression is a perfect square trinomial because the first term y2 is (y)2 the last term 9 is (−3)2 and the middle term −6*y is 2*(y)*(−3)

3. Apply the formula for a perfect square trinomial, which states that a2−2*a*b+b2=(a−b)2

4. Substitute the values into the formula where a=y and b=3

Final Answer

y2−6*y+9=(y−3)2

Want more problems? Check here!