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123uwx

Mathematics

Description

1) Simplify the expression.

(­3 ­ - i)(2 ­ - 2i)

A) 4 + 4i

B) ­-6 + 6i

C) -6 + 2i

D) 4 - 8i

2) Simplify the expression.

(1- ­ 4i)(2 + i)

A) 4 ­ - 8i

B) -2 ­ - 7i

C) 2 ­ - 11i

D) 6 - 7i

3) Simplify the expression.

(3 ­ - 4i) ­ - (1 ­ - 4i)

A) 2 ­ - 8i

B) 2

C) 2 + 8i

D) 4

4) Simplify the expression.

(5 - ­ 2i) + (4 + 4i)

A) 11i

B) 9 + 2i

C) 9 + 6i

D) 1 + 2i

5) Simplify the expression.

i^13

A) 1

B) -1

C) i

D) -i

6) Simplify the expression.

A) 8ix^2

B) 8i^2x^2

C) -8x^2

D) -8ix^2

7) Simplify the expression.


A) 9

B) -9

C) 9i

D) -9i

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Explanation & Answer

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𝒊𝟐 = 𝒊 ∙ 𝒊 = −𝟏

1. (3 − 𝑖)(2 − 2𝑖) = 6 − 2𝑖 − 6𝑖 + 2𝑖 2 = 4 − 8𝑖, D.

2. (1 − 4𝑖)(2 + 𝑖) = 2 − 8𝑖 + 𝑖 − 4𝑖 2 = 6 − 7𝑖, D.

3. (3 ...


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