230k views
4 votes
What is the value of (7 + 2i)(3 - i)?

User Colymba
by
7.3k points

1 Answer

4 votes
There are two ways to work this out: normal variables or using "imaginary" numbers.

Normal variables:

(7+2i)(3-i)\\(7*3)+[7*(-i)]+(3*2i)+[2i*(-i)]\\21-7i+6i-2i^(2)\\\\21-i-2i^(2)

Imaginary numbers:
Using the result from earlier:

21-i-2i^(2)
Now since
i = √(-1), then the expression becomes:

21-i-2i^(2)\\21-i-2(√(-1))^(2)\\21-i+(-2)(-1)\\21-i+2\\\\23-i
User Nexuswho
by
7.4k points