Respuesta :

loneguy

[tex]~~x^2+16\\ \\=x^2-(-16)\\\\=x^2-(4i)^2\\\\=(x+4i)(x-4i)[/tex]

Answer:

  • (x + 4)(x + 4)

Step-by-step explanation:

Given expression:

  • x² + 16

Clearly, 16 is a perfect square as 4 x 4 is 16.

Thus, this expression can be written as:

  • ⇒ x² + 16
  • ⇒ x² + 4²

Using the formula "a² + b² = (a + b)(a + b)"

  • ⇒ x² + 4²
  • ⇒ (x + 4)(x + 4)