Factor x^2+6x+9

Problem

x^2+6*x+9

Solution

1. Identify the form of the quadratic expression a*x^2+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 x^2 is (x)^2 the last term 9 is (3)^2 and the middle term 6*x is 2*(x)*(3)

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

4. Substitute a=x and b=3 into the formula to get (x+3)^2

Final Answer

x^2+6*x+9=(x+3)^2

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