Factor x^2-6x+9

Problem

x2−6*x+9

Solution

1. Identify the structure of the quadratic expression, which is in the form a*x2+b*x+c where a=1 b=−6 and c=9

2. Recognize that the expression is a perfect square trinomial because the first term is x2 the last term is 3 and the middle term is −2*(x)*(3)

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

4. Substitute a=x and b=3 into the binomial square form.

Final Answer

x2−6*x+9=(x−3)2

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