Complex Numbers Answers

(9 – 6i) × m = 9 – 6i What is m?

(6 + 3i)(6 − 3i) = [___] (4 − 5i)(4 + 5i) = [___] (−3 + 8i)(−3 − 8i) = [___]

–3636–6 – 6i 36i

–2 + 14i –4 + 28i –20 + 20i

Select the correct answer from the choices given(13 + 4i) + n = 0 What is n?

Which addition expression has the sum 8 – 3i ?

Is the work shown below correct? Explain your answer.(11 + 2i ) – (3 – 10i ) = 11 + 2i – 3 – 10i = (11 – 3) + (2i – 10i) = 8 – 8i

Which subtraction expression has the difference 1 + 4i?

Multiply and simplify the product.–12i × 3iSelect the product.

Multiply and simplify the product.(3 – 5i)(–2 + 4i) Select the product.

(6 + 3i)(6 − 3i) = [___] (4 − 5i)(4 + 5i) = [___] (−3 + 8i)(−3 − 8i) = [___]

Which pair of complex factors results in a real-number product?

Find the sum of (–4 + i) and (10 – 5i).

Which of the following did your answer include? Check all of the boxes that apply.The work shown is not correct.The subtraction sign did not get distributed to the –10i.The sign on –10i should have changed.The imaginary part should be 12i.

Subtract (3 + 2i) from (–9 – 8i).

Multiply and simplify the product.2i(4 – 5i) Select the product.

Multiply and simplify the product.(8 – 5i)2 Select the product.

(6 + 3i)(6 − 3i) = [___] (4 − 5i)(4 + 5i) = [___] (−3 + 8i)(−3 − 8i) = [___]

What values of c and d would make the following expression represent a real number?i(2 + 3i)(c + di)