Question

Given that x = 3 + 8i and y = 7 - i, match the equivalent expressions.

Answer 1

We have the following expressions:
 x = 3 + 8i
 y = 7 - i
 -x * y = (- 3 - 8i) * (7 - i) = -21 + 3i - 56i - 8 = -29 -53i
 2x-3y = 2 (3 + 8i) - 3 (7 - i) = 6 + 16i - 21 + 3i = -15 + 19i
 -5x + y = -5 (3 + 8i) + (7 - i) = -15 - 40i + 7 - i = -8 -41i
 x * 2y = (3 + 8i) * (14 - 2i) = 42 - 6i + 112i + 16 = 58 + 106i
 Answer:
 -x * y = -29 -53i
 2x-3y = -15 + 19i
 -5x + y = -8 -41i
 x * 2y = 58 + 106i