Complex Numbers | MathHelp.com - By MathHelp.com
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| 00:00 | In this example we're asked to simplify three minus I | |
| 00:05 | squared . Remember that three minus I squared can be | |
| 00:10 | thought of as three minus I Times 3 -1 Cool | |
| 00:20 | simplifying from here . We use the foil method just | |
| 00:24 | like we did in the previous example , The product | |
| 00:28 | of the first terms three times 3 is nine . | |
| 00:33 | The product of the outer terms three times negative I | |
| 00:38 | is negative three I . The product of the inner | |
| 00:43 | terms negative I times three is negative three I . | |
| 00:50 | And the product of the last terms negative I times | |
| 00:54 | negative I is positive I squared . So we have | |
| 01:00 | 9 -3 I -3 . I plus I squared . | |
| 01:07 | Next we combine our like terms -3 I -3 I | |
| 01:14 | is negative six I and remember that I squared is | |
| 01:19 | negative one . So we have 9 -6 I plus | |
| 01:25 | negative one . Finally combining like terms nine plus negative | |
| 01:33 | one is eight . So our final answer is 8 | |
| 01:38 | -6 . i . |
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