Question

Factor into linear factors:
`x^(2) +16`

Answer 1

`~~x^2+16\\ \\=x^2-(-16)\\\\=x^2-(4i)^2\\\\=(x+4i)(x-4i)`

Answer 2

• (x + 4)(x + 4)

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)