Question

Help please
Difference of Squares gives which complex factors for the expression x2 +13
?
A. (x + in13)(x - in 13)
B. (x +13)(x - 131)
C. (x - in/13)(x - iN13)
D. (x + 131) (x - 1312

Answer 1

Answer:

Option C.

Step-by-step explanation:

Shortest way to solve this question is to find the factors of the given expression.

The given expression is (x² + 13).

Now we have to factorize it.

(x² + 13) = x² + (√13)²

            = x² + [-(i)²√(13)²]  [Since i = √(-1)]

            = x² - (i√13)²

            = (x - i√3)(x + i√3) [Since (a² - b²) = (a + b)(a - b)]

Option C will be the answer.