Perform the indicated operations and write the answer in the form a + bi, where a and b are real numbers.
-(7 + 8i)(4 + 7i)
A) 84 - 17i
B) -28 - 81i
C) -28 + 81i
D) 56i2 + 81i + 28

Question

Quizplus · Accepted Answer

To multiply the complex numbers (7 + 8i) and (4 + 7i), use the distributive property: (7)(4) + (7)(7i) + (8i)(4) + (8i)(7i). This simplifies to 28 + 49i + 32i + 56i^2. Since i^2 = -1, 56i^2 = -56. Combine like terms: 28 - 56 + 81i = -28 + 81i.

Perform the Indicated Operations and Write the Answer in the Form