Question

Difference of squares gives which complex factors for the expression x^2+13

a. (x - i sqr 13)(x - i sqr 13)
b. (x + 13i)^2(X - 13i)^2
c.(x + i sqr 13)(x - i sqr 13)
d. (x + 13i)(X - 13i)


ASAP pls

Answer 1

Option C.

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.

Answer 2

The Given Expression is : → x² + 13

= x² + (√13)²

= x² - ( i √13)² As , i²= -1 because , i = √-1

= (x - i√13)(x +√13) → Using the formula , A² - B² = (A-B)(A+B)

Out of the four options Given : Option C →(x - i√13)(x +√13) is true regarding the expansion of function x² + 13.