Factor x^2+16x+64

Problem

x^2+16*x+64

Solution

1. Identify the structure of the quadratic expression, which is in the form a*x^2+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 x^2 the last term is 8^2 and the middle term is 2⋅x⋅8

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

4. Rewrite the expression in its factored form.

Final Answer

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

Want more problems? Check here!