Respuesta :

Answer:

(x + 10)²

Step-by-step explanation:

Given

(x + 3)² + 14(x + 3) + 49

Use the substitution u = x + 3, then the expression can be written as

u² + 14u + 49 ← which is a perfect square trinomial

= (u + 7)² ← change u back into terms of x

= (x + 3 + 7)²

= (x + 10)²