For this case we must simplify the following expression:
[tex](2 + 4i) (7-3i)[/tex]
We apply distributive property considering that:
[tex]+ * - = -\\- * - = +\\2 * 7 + 2 * (- 3i) + (4i) * 7- (4i) (3i) =\\14-6i + 28i-12i ^ 2 =[/tex]
We take into account that:
[tex]i ^ 2 = -1[/tex]
So:
[tex]14-6i + 28i-12 (-1) =\\14-6i + 28i + 12 =[/tex]
Adding similar terms:
[tex]14 + 12 + 28i-6i =\\26 + 22i[/tex]
Answer:
[tex]26 + 22i[/tex]
