Question

VERY IMPORTANT!! PLEASE ANSWER CORRECTLY!!

Answer 1

Answer:

$x^2-4x+8$

$x^2+4$

$x^2+2x+2$

Step-by-step explanation:

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

Multiply each term inside second parenthesis

$x^2-2x-2ix -2x+4+4i+2ix-4i-4i^2$

Combine like terms. the value of i^2=-1

$x^2-4x+4-4(-1)$

$x^2-4x+8$

(2) (x+2i)(x-2i)

$x^2- 2ix +2ix -4i^2$

Replace i^2 by -1  

$x^2+4$

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

Multiply each term inside second parenthesis

$x^2+x-ix+x+1-i+ix+i-i^2$

Combine like terms. the value of i^2=-1

$x^2-4x+4-4(-1)$

$x^2+2x+2$