Factor x2 + 9 in the complex numbers.
a) (x + 3)(x - 3)
b) (x + 3)(x + 3)
c) (x + 3i)(x - 3i)
d) (x + 3i)(x + 3i)

C)(x + 3i)(x - 3i)

Step-by-step explanation:

(x + 3i)(x - 3i)

=x² - (3i)²              [(a+b)(a-b)=a²-b²]

=x² - 9i²

=x² - 9(-1)   [i²=-1]

= x² + 9

Good evening ,

The right answer is C

Step-by-step explanation:

x² + 9 = x² − (−9) = x² − (i²×9) = x² − i²× 3² = x² − (3i)² = (x + 3i)(x - 3i).

:)

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