Question

$x {2} + 4x + 4$
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Answer 1

$= {x}^{2} + 4x + 4 \\ = {x}^{2} + 2x + 2x + 4 \\ = (x + 2)(x + 2) \\ = {(x + 2)}^{2}$

hope it helps you

Answer 2

x^2+4x+4=0

x^2+2x+2x+4=0

x(x+2)2(x+2)=0

x+2 = 0 ( or ) x+2 = 0

x = -2 ( or ) x = -2

this is prime factorization