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Factor perfect square trinomial

Factor perfect square trinomial.
x^2+8x+16

I need an explanation of each step.

Solution This solution is FREE courtesy of BrainMass!

We will apply the formula

(a+b)^2 = a^2 + 2ab + b^2

We can write the given trinomial as

x^2 + 2*x*4 + 4^2

now apply the above formula, we will get

=(x+4)^2 = (x +4)(x + 4)

Answer: (x +4)(x+4)