Performing Operations with Complex Numbers Answers

Let x = a + bi and y = c + di and z = f + gi.Which statements are true? Check all of the boxes that apply.

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

(9 – 6i) × m = 9 – 6i What is m?

Which addition expression has the sum 8 – 3i ?

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

Which subtraction expression has the difference 1 + 4i?

Subtract (3 + 2i) from (–9 – 8i).

36-3636i-36i

Simplify each expression. Select the correct answer from the drop–down menu.

Simplify each expression. Select the correct answer from the drop–down menu.

–2 + 14i ✔ –4 + 28i –20 + 20i

–2i 2i–10 + 8i✔ 10 + 8i

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

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

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

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

–3 + i–3 – i7 + i✔ 7 – i

Simplify −3 + i 7 + i . First, multiply both the numerator and denominator by . The product in the numerator is + i. The product in the denominator is . In simplest form −3 + i 7 + i is −2 + i 5 .

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