How do you multiply # (8-2i)(6-7i) # in trigonometric form?

1 Answer
Jul 22, 2017

Just like multiplying polynomials in Algebra, use the distribution property to multiply the terms and use the property of imaginary numbers t simplify it further.

Explanation:

#(8-2i)(6-7i)#

Distribute the terms into a polynomial.

#=14i^2-68i+48#

Now, we do know that:

#i^1=i#
#i^2=-1#
#i^3=-i#
#i^4=1#
and the pattern goes on and on...

We can now simplify it to:

#=34-68i#