Given that x = -2 - 3i and y = 4 + 2i , match the expressions.

Step-by-step explanation:

Given:

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1st problem:

Distribute:

Combine like terms:

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2nd problem:

Distribute -3 to first factor:

Use foil to simplify:

Replace with -1:

Combine like terms:

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3rd problem:

Distribute 2 to the second factor:

Use foil to simplify:

Replace with -1:

Combine like terms:

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4th problem:

Distribute:

Combine like terms:

Simplify:

3y - 2x --> 16 + 12i

-3x · y --> 6 + 48i

x · 2y --> -4 - 32i

x - y --> -6 - 5i

Step-by-step explanation:

Work each one out.

3y - 2x

3(4 + 2i) - 2(-2 - 3i)

12 + 6i + 4 + 6i

16 + 12i

-3x · y

-3(-2 - 3i) · (4 + 2i)

(6 +9i) · (4 + 2i)

24 + 12i + 26i - 18

6 +48i

x · 2y

(-2 - 3i) · 2(4 + 2i)

(-2 - 3i) · (8 + 4i)

-16 - 8i - 24i +12

-4 - 32i

x - y

(-2 - 3i) - (4 + 2i)

-6 - 5i

3/6   and 9/18

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