Factor x^2+4x+4

Problem

x2+4*x+4

Solution

1. Identify the expression as a quadratic trinomial of the form a*x2+b*x+c where a=1 b=4 and c=4

2. Recognize that the expression follows the perfect square trinomial pattern a2+2*a*b+b2=(a+b)2

3. Determine the values for the pattern by noting that x2 is (x)2 and 4 is (2)2

4. Verify the middle term by calculating 2(x)(2) = 4x$, which matches the given expression.

5. Apply the formula for a perfect square trinomial to write the factored form.

Final Answer

x2+4*x+4=(x+2)2

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