Question

Find the product of the complex number and its conjugate.

Answer 1

3 + 3i

Answer 2

\((a+bi)(a-bi)=a^2+b^2\) a positive real number

don't think about \(i\) or minus signs or let anything else distract you from this calculation. it is just \(a^2+b^2\)

in your case it is \(3^2+3^2\)which you can do in your head

Answer 3

you dont do the foil thing

Answer 4

no you don't do a foiling thing
if you do you will get the same answer, but it is not the easy way to do it.
just \(a^2+b^2\) and that is all

Answer 5

this works for all the questions that ask find the product of the complex number and its conjugate?

Answer 6

\((2+3i)(2-3i)=2^2+3^2\)
\[(1+\sqrt{2}i)(1-\sqrt{2}i)=1+2\]etc

Answer 7

yes absolutely

Answer 8

so 18 and thanks

Answer 9

yw

Answer 10

can you help with another question i posted