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labwork [276]
3 years ago
11

Find the product and fill in the blanks to write in standard complex number form.

Mathematics
2 answers:
Triss [41]3 years ago
8 0

Answer:

26 + 22i

Step-by-step explanation:

Given

(2 + 4i)(7 - 3i) ← expand product using FOIL

= 14 - 6i + 28i - 12i² ← i² = - 1

= 14 + 22i + 12

= 26 + 22i ← in standard form

Artist 52 [7]3 years ago
3 0

For this case we must simplify the following expression:

(2 + 4i) (7-3i)

We apply distributive property considering that:

+ * - = -\\- * - = +\\2 * 7 + 2 * (- 3i) + (4i) * 7- (4i) (3i) =\\14-6i + 28i-12i ^ 2 =

We take into account that:

i ^ 2 = -1

So:

14-6i + 28i-12 (-1) =\\14-6i + 28i + 12 =

Adding similar terms:

14 + 12 + 28i-6i =\\26 + 22i

Answer:

26 + 22i

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