Question

Which expression is equivalent to x2 + 2x + 2

a. (x + 1 - i ) (x + 1 + i)
b. (x - 1 + i) (x - 1 - i)
c. (x + 1 - i ) (x + 1 - i)
d. ( x + 2) (x + 1)

Answer 1

Explanation:

for the expression you wrote: x2 + 2x + 2 the answer is: none

the expression you have there is: x² + 2x + 2 and the answer is: a

by expanding a:

(x + 1 - i ) (x + 1 + i) = x² + x + xi + x + 1 + i - xi - i + 1

(x + 1 - i ) (x + 1 + i) = x² + x + x + 1 + 1

(x + 1 - i ) (x + 1 + i) = x² + 2x + 2

Answer 2

The answer is Option A.

x + 1 - i ) (x + 1 + i)

Solution:

x (x+2) +2

(x+1)² + 1

= (x + 1 - i ) (x + 1 + i)