Multiplying Complex Numbers

Front

What is the result of multiplying the complex numbers 2i and (4 + 3i)?

Back

-6 + 8i

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CCSS.HSN.CN.A.2

Front

What is the result of (5 - i)(5 - i)?

Back

24 - 10i

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CCSS.HSN.CN.C.8

Front

In a complex number expressed as a + bi, what does 'a' represent?

Back

The real part of the complex number.

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CCSS.HSN.CN.A.1

Front

What is the result of multiplying the complex numbers (-3 - i) and (6 - i)?

Back

-19 - 3i

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CCSS.HSN.CN.A.2

Front

What is the result of (2i)(3i)?

Back

-6

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CCSS.HSN.CN.A.2

Front

What is the formula for multiplying two complex numbers (a + bi)(c + di)?

Back

ac + adi + bci + bdi^2, where i^2 = -1.

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CCSS.HSN.CN.A.2

Front

What is the value of i^2?

Back

-1

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CCSS.HSN.CN.A.1

Front

How do you simplify the expression (a + bi) + (c + di)?

Back

(a + c) + (b + d)i.

Tags

CCSS.HSN.CN.A.2

Front

What is the conjugate of a complex number a + bi?

Back

a - bi.

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CCSS.HSN.CN.A.3

Front

How do you multiply a complex number by its conjugate?

Back

(a + bi)(a - bi) = a^2 + b^2.

Tags

CCSS.HSN.CN.A.2