Back to Exercise: Add, subtract, and multiply complex numbers

Exercises: Add, Subtract, and Multiply Complex Numbers

Show your work. Write all answers in standard form $a + bi$.

Grade 9·21 problems·~30 min·Common Core Math - HS Number and Quantity·standard·hsn-cn-a-2
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A

Warm-Up: Review What You Know

1.

Combine like terms: (3x+2)+(5x1)(3x + 2) + (5x - 1).

2.

What is the value of i2i^2?

3.

Expand (2+3)(23)(2 + 3)(2 - 3) using the difference-of-squares pattern (a+b)(ab)=a2b2(a + b)(a - b) = a^2 - b^2.

B

Fluency Practice

1.

Compute (3+2i)+(5i)(3 + 2i) + (5 - i). Write the real part only. Enter a number.

2.

Compute (4+3i)(1+5i)(4 + 3i) - (1 + 5i). Write the imaginary part (the coefficient of ii). Enter a number.

3.

Compute (2+3i)(14i)(2 + 3i)(1 - 4i).

4.

Compute (1+2i)2(1 + 2i)^2.

5.

Compute (3+4i)(34i)(3 + 4i)(3 - 4i). Enter the numerical result (it will be a real number).

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