Factor x^2+16x+64

Problem

x2+16*x+64

Solution

1. Identify the structure of the quadratic expression, which is in the form a*x2+b*x+c where a=1 b=16 and c=64

2. Recognize that the expression is a perfect square trinomial because the first term is x2 the last term is 8 and the middle term is 2⋅x⋅8

3. Apply the formula for a perfect square trinomial, a2+2*a*b+b2=(a+b)2 where a=x and b=8

4. Rewrite the expression in its factored form.

Final Answer

x2+16*x+64=(x+8)2

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