Question

If A = 2 + 7i, B = 5 + 8i, and C = 1 + 3i , where i is the imaginary unit. Find B-AC, give your answer as a complex number in standard form.

Please give full answer

Answer 1

• 24 - 5i

Explanation:

Given

• A = 2 + 7i
• B = 5 + 8i
• C = 1 + 3i

To find

• Value of B - AC in standard form

Solution

• B - AC =
• 5 + 8i - (2 + 7i)(1 + 3i) =
• 5 + 8i - 2 - 7i - 6i - 21i² =
• 3 - 5i + 21 =
• 24 - 5i