Perform the indicated operations and write the answer in the form a + bi, where a and b are real numbers.
-(9 + 5i)(6 + 2i)
A) 10i2 + 48i + 54
B) 44 - 48i
C) 44 + 48i
D) 64 + 12i

Question

Quizplus · Accepted Answer

To multiply the complex numbers, use the distributive property: (9 + 5i)(6 + 2i) = 9*6 + 9*2i + 5i*6 + 5i*2i = 54 + 18i + 30i + 10i^2. Since i^2 = -1, 10i^2 = -10. Therefore, the expression simplifies to 54 + 48i - 10 = 44 + 48i.

Perform the Indicated Operations and Write the Answer in the Form