Question

Multiply and simplify the following complex numbers (1+5i) x (-3-i)

Answer 1

2 - 16i

Explanation:

`(1 + 5i) * ( - 3 - i) \\ = 1 * ( - 3 - i) + 5i * ( - 3 - i) \\ = - 3 - i - 15i - 5 {i}^(2) \\ = - 3 - 16i - 5( - 1)..( \because \: {i}^(2) = - 1) \\ - 3 - 16i + 5 \\ = 5 - 3 - 16i \\ = 2 - 16i \\ \purple{ \boxed{ \bold{ \therefore \: (1 + 5i) * ( - 3 - i) = 2 - 16i }}} \\`