Factor y^2-12y+36

Problem

y2−12*y+36

Solution

1. Identify the structure of the quadratic expression, which is in the form a*y2+b*y+c where a=1 b=−12 and c=36

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

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

4. Substitute a=y and b=6 into the binomial square form.

Final Answer

y2−12*y+36=(y−6)2

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