Question

Factor the perfect square trinomial.
x(Squared)+4x+4

Answer 1

Answer:

(x + 2)²

Step-by-step explanation:

Given

x² + 4x + 4 ← is a perfect square of the form

(x + a)² = x² + 2ax + a²

Compare like terms

a² = 4 ⇒ a = $\sqrt{4}$ = 2, thus

x² + 4x + 4 = (x + 2)²