"So what would (3 - 5i) + (4 + 2i) equal?" asked Betty.

"Why, 7 - 3i, of course," responded John. "But what about (4-3i) (2+5i) ?"

"Well by expanding out the brackets,"

(4-3i) (2+5i) = 4 2 + 4 5i - 3i 2 - 3i 5i

= 8 + 20i - 6i -15-1

= 23 + 14i

said Betty, pretty excited about their new game.