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VERY IMPORTANT!! PLEASE ANSWER CORRECTLY!!

VERY IMPORTANT!! PLEASE ANSWER CORRECTLY!!-example-1

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Answer:


x^2-4x+8


x^2+4


x^2+2x+2

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




User Hoobajoob
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